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Finding the Third Proportional to 157,988 and 242,262

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Solution

The third proportional to 157,988 and 242,262 is: 371,489.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,988 : 242,262 = 242,262 : x
  2. Step 2: Convert to fraction form
    157,988/242,262 = 242,262/x
  3. Step 3: Cross multiply
    157,988x = 242,262 × 242,262
  4. Step 4: Simplify right side
    157,988x = 58,690,876,644
  5. Step 5: Solve for x
    x = 58,690,876,644/157,988
  6. Step 6: Final answer
    x = 371,489.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.