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Finding the Third Proportional to 63,351 and 138,581

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Solution

The third proportional to 63,351 and 138,581 is: 303,147.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,351 : 138,581 = 138,581 : x
  2. Step 2: Convert to fraction form
    63,351/138,581 = 138,581/x
  3. Step 3: Cross multiply
    63,351x = 138,581 × 138,581
  4. Step 4: Simplify right side
    63,351x = 19,204,693,561
  5. Step 5: Solve for x
    x = 19,204,693,561/63,351
  6. Step 6: Final answer
    x = 303,147.44

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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.