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Finding the Third Proportional to 123,239.50 and 252,317

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Solution

The third proportional to 123,239.50 and 252,317 is: 516,586.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,239.50 : 252,317 = 252,317 : x
  2. Step 2: Convert to fraction form
    123,239.50/252,317 = 252,317/x
  3. Step 3: Cross multiply
    123,239.50x = 252,317 × 252,317
  4. Step 4: Simplify right side
    123,239.50x = 63,663,868,489
  5. Step 5: Solve for x
    x = 63,663,868,489/123,239.50
  6. Step 6: Final answer
    x = 516,586.55

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.