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Finding the Third Proportional to 705,161,520 and 1,535,192,160

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Solution

The third proportional to 705,161,520 and 1,535,192,160 is: 3,342,234,227.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,161,520 : 1,535,192,160 = 1,535,192,160 : x
  2. Step 2: Convert to fraction form
    705,161,520/1,535,192,160 = 1,535,192,160/x
  3. Step 3: Cross multiply
    705,161,520x = 1,535,192,160 × 1,535,192,160
  4. Step 4: Simplify right side
    705,161,520x = 2,356,814,968,125,465,600
  5. Step 5: Solve for x
    x = 2,356,814,968,125,465,600/705,161,520
  6. Step 6: Final answer
    x = 3,342,234,227.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.