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Finding the Third Proportional to 157,440,942 and 217,029,231

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Solution

The third proportional to 157,440,942 and 217,029,231 is: 299,170,511.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,440,942 : 217,029,231 = 217,029,231 : x
  2. Step 2: Convert to fraction form
    157,440,942/217,029,231 = 217,029,231/x
  3. Step 3: Cross multiply
    157,440,942x = 217,029,231 × 217,029,231
  4. Step 4: Simplify right side
    157,440,942x = 47,101,687,108,451,360
  5. Step 5: Solve for x
    x = 47,101,687,108,451,360/157,440,942
  6. Step 6: Final answer
    x = 299,170,511.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.