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Finding the Third Proportional to 63,481 and 135,709

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Solution

The third proportional to 63,481 and 135,709 is: 290,117.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,481 : 135,709 = 135,709 : x
  2. Step 2: Convert to fraction form
    63,481/135,709 = 135,709/x
  3. Step 3: Cross multiply
    63,481x = 135,709 × 135,709
  4. Step 4: Simplify right side
    63,481x = 18,416,932,681
  5. Step 5: Solve for x
    x = 18,416,932,681/63,481
  6. Step 6: Final answer
    x = 290,117.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.