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Finding the Third Proportional to 42,409 and 62,347

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Solution

The third proportional to 42,409 and 62,347 is: 91,658.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,409 : 62,347 = 62,347 : x
  2. Step 2: Convert to fraction form
    42,409/62,347 = 62,347/x
  3. Step 3: Cross multiply
    42,409x = 62,347 × 62,347
  4. Step 4: Simplify right side
    42,409x = 3,887,148,409
  5. Step 5: Solve for x
    x = 3,887,148,409/42,409
  6. Step 6: Final answer
    x = 91,658.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.