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Finding the Third Proportional to 39,720 and 54,092

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Solution

The third proportional to 39,720 and 54,092 is: 73,664.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,720 : 54,092 = 54,092 : x
  2. Step 2: Convert to fraction form
    39,720/54,092 = 54,092/x
  3. Step 3: Cross multiply
    39,720x = 54,092 × 54,092
  4. Step 4: Simplify right side
    39,720x = 2,925,944,464
  5. Step 5: Solve for x
    x = 2,925,944,464/39,720
  6. Step 6: Final answer
    x = 73,664.26

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.