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Finding the Third Proportional to 159,687 and 239,535

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Solution

The third proportional to 159,687 and 239,535 is: 359,309.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,687 : 239,535 = 239,535 : x
  2. Step 2: Convert to fraction form
    159,687/239,535 = 239,535/x
  3. Step 3: Cross multiply
    159,687x = 239,535 × 239,535
  4. Step 4: Simplify right side
    159,687x = 57,377,016,225
  5. Step 5: Solve for x
    x = 57,377,016,225/159,687
  6. Step 6: Final answer
    x = 359,309.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.