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Finding the Third Proportional to 96,720,112 and 204,356,864

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Solution

The third proportional to 96,720,112 and 204,356,864 is: 431,779,151.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,720,112 : 204,356,864 = 204,356,864 : x
  2. Step 2: Convert to fraction form
    96,720,112/204,356,864 = 204,356,864/x
  3. Step 3: Cross multiply
    96,720,112x = 204,356,864 × 204,356,864
  4. Step 4: Simplify right side
    96,720,112x = 41,761,727,863,914,496
  5. Step 5: Solve for x
    x = 41,761,727,863,914,496/96,720,112
  6. Step 6: Final answer
    x = 431,779,151.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.