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Finding the Third Proportional to 123,384 and 267,909

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Solution

The third proportional to 123,384 and 267,909 is: 581,722.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,384 : 267,909 = 267,909 : x
  2. Step 2: Convert to fraction form
    123,384/267,909 = 267,909/x
  3. Step 3: Cross multiply
    123,384x = 267,909 × 267,909
  4. Step 4: Simplify right side
    123,384x = 71,775,232,281
  5. Step 5: Solve for x
    x = 71,775,232,281/123,384
  6. Step 6: Final answer
    x = 581,722.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.