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Finding the Third Proportional to 123,223.78 and 171,132.75

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Solution

The third proportional to 123,223.78 and 171,132.75 is: 237,668.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,223.78 : 171,132.75 = 171,132.75 : x
  2. Step 2: Convert to fraction form
    123,223.78/171,132.75 = 171,132.75/x
  3. Step 3: Cross multiply
    123,223.78x = 171,132.75 × 171,132.75
  4. Step 4: Simplify right side
    123,223.78x = 29,286,418,122.56
  5. Step 5: Solve for x
    x = 29,286,418,122.56/123,223.78
  6. Step 6: Final answer
    x = 237,668.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.