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Finding the Third Proportional to 205,535,448 and 279,951,864

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Solution

The third proportional to 205,535,448 and 279,951,864 is: 381,311,578.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,535,448 : 279,951,864 = 279,951,864 : x
  2. Step 2: Convert to fraction form
    205,535,448/279,951,864 = 279,951,864/x
  3. Step 3: Cross multiply
    205,535,448x = 279,951,864 × 279,951,864
  4. Step 4: Simplify right side
    205,535,448x = 78,373,046,157,074,496
  5. Step 5: Solve for x
    x = 78,373,046,157,074,496/205,535,448
  6. Step 6: Final answer
    x = 381,311,578.71

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.