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Finding the Third Proportional to 157,082 and 242,687

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Solution

The third proportional to 157,082 and 242,687 is: 374,944.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,082 : 242,687 = 242,687 : x
  2. Step 2: Convert to fraction form
    157,082/242,687 = 242,687/x
  3. Step 3: Cross multiply
    157,082x = 242,687 × 242,687
  4. Step 4: Simplify right side
    157,082x = 58,896,979,969
  5. Step 5: Solve for x
    x = 58,896,979,969/157,082
  6. Step 6: Final answer
    x = 374,944.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.