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Finding the Third Proportional to 51,228,486 and 78,693,219

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Solution

The third proportional to 51,228,486 and 78,693,219 is: 120,882,407.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,228,486 : 78,693,219 = 78,693,219 : x
  2. Step 2: Convert to fraction form
    51,228,486/78,693,219 = 78,693,219/x
  3. Step 3: Cross multiply
    51,228,486x = 78,693,219 × 78,693,219
  4. Step 4: Simplify right side
    51,228,486x = 6,192,622,716,581,961
  5. Step 5: Solve for x
    x = 6,192,622,716,581,961/51,228,486
  6. Step 6: Final answer
    x = 120,882,407.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.