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Finding the Third Proportional to 63,540 and 138,147

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Solution

The third proportional to 63,540 and 138,147 is: 300,355.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,540 : 138,147 = 138,147 : x
  2. Step 2: Convert to fraction form
    63,540/138,147 = 138,147/x
  3. Step 3: Cross multiply
    63,540x = 138,147 × 138,147
  4. Step 4: Simplify right side
    63,540x = 19,084,593,609
  5. Step 5: Solve for x
    x = 19,084,593,609/63,540
  6. Step 6: Final answer
    x = 300,355.58

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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.