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Finding the Third Proportional to 63,863 and 138,780

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Solution

The third proportional to 63,863 and 138,780 is: 301,581.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,863 : 138,780 = 138,780 : x
  2. Step 2: Convert to fraction form
    63,863/138,780 = 138,780/x
  3. Step 3: Cross multiply
    63,863x = 138,780 × 138,780
  4. Step 4: Simplify right side
    63,863x = 19,259,888,400
  5. Step 5: Solve for x
    x = 19,259,888,400/63,863
  6. Step 6: Final answer
    x = 301,581.33

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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.