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Finding the Third Proportional to 63,642 and 137,757

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Solution

The third proportional to 63,642 and 137,757 is: 298,183.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,642 : 137,757 = 137,757 : x
  2. Step 2: Convert to fraction form
    63,642/137,757 = 137,757/x
  3. Step 3: Cross multiply
    63,642x = 137,757 × 137,757
  4. Step 4: Simplify right side
    63,642x = 18,976,991,049
  5. Step 5: Solve for x
    x = 18,976,991,049/63,642
  6. Step 6: Final answer
    x = 298,183.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.