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Finding the Third Proportional to 57,148 and 123,691

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Solution

The third proportional to 57,148 and 123,691 is: 267,716.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,148 : 123,691 = 123,691 : x
  2. Step 2: Convert to fraction form
    57,148/123,691 = 123,691/x
  3. Step 3: Cross multiply
    57,148x = 123,691 × 123,691
  4. Step 4: Simplify right side
    57,148x = 15,299,463,481
  5. Step 5: Solve for x
    x = 15,299,463,481/57,148
  6. Step 6: Final answer
    x = 267,716.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.