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Finding the Third Proportional to 320,794,900,333.70 and 688,158,422,093.80

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Solution

The third proportional to 320,794,900,333.70 and 688,158,422,093.80 is: 1,476,214,283,350.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,794,900,333.70 : 688,158,422,093.80 = 688,158,422,093.80 : x
  2. Step 2: Convert to fraction form
    320,794,900,333.70/688,158,422,093.80 = 688,158,422,093.80/x
  3. Step 3: Cross multiply
    320,794,900,333.70x = 688,158,422,093.80 × 688,158,422,093.80
  4. Step 4: Simplify right side
    320,794,900,333.70x = 473,562,013,898,628,671,733,760
  5. Step 5: Solve for x
    x = 473,562,013,898,628,671,733,760/320,794,900,333.70
  6. Step 6: Final answer
    x = 1,476,214,283,350.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.