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Finding the Third Proportional to 39,690 and 85,374

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Solution

The third proportional to 39,690 and 85,374 is: 183,641.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,690 : 85,374 = 85,374 : x
  2. Step 2: Convert to fraction form
    39,690/85,374 = 85,374/x
  3. Step 3: Cross multiply
    39,690x = 85,374 × 85,374
  4. Step 4: Simplify right side
    39,690x = 7,288,719,876
  5. Step 5: Solve for x
    x = 7,288,719,876/39,690
  6. Step 6: Final answer
    x = 183,641.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.