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Finding the Third Proportional to 38,428 and 57,398

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Solution

The third proportional to 38,428 and 57,398 is: 85,732.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,428 : 57,398 = 57,398 : x
  2. Step 2: Convert to fraction form
    38,428/57,398 = 57,398/x
  3. Step 3: Cross multiply
    38,428x = 57,398 × 57,398
  4. Step 4: Simplify right side
    38,428x = 3,294,530,404
  5. Step 5: Solve for x
    x = 3,294,530,404/38,428
  6. Step 6: Final answer
    x = 85,732.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.