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Finding the Third Proportional to 18,139 and 39,397

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Solution

The third proportional to 18,139 and 39,397 is: 85,568.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,139 : 39,397 = 39,397 : x
  2. Step 2: Convert to fraction form
    18,139/39,397 = 39,397/x
  3. Step 3: Cross multiply
    18,139x = 39,397 × 39,397
  4. Step 4: Simplify right side
    18,139x = 1,552,123,609
  5. Step 5: Solve for x
    x = 1,552,123,609/18,139
  6. Step 6: Final answer
    x = 85,568.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.