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Finding the Third Proportional to 38,909 and 85,382

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Solution

The third proportional to 38,909 and 85,382 is: 187,362.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,909 : 85,382 = 85,382 : x
  2. Step 2: Convert to fraction form
    38,909/85,382 = 85,382/x
  3. Step 3: Cross multiply
    38,909x = 85,382 × 85,382
  4. Step 4: Simplify right side
    38,909x = 7,290,085,924
  5. Step 5: Solve for x
    x = 7,290,085,924/38,909
  6. Step 6: Final answer
    x = 187,362.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.