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Finding the Third Proportional to 63,916 and 138,876

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Solution

The third proportional to 63,916 and 138,876 is: 301,748.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,916 : 138,876 = 138,876 : x
  2. Step 2: Convert to fraction form
    63,916/138,876 = 138,876/x
  3. Step 3: Cross multiply
    63,916x = 138,876 × 138,876
  4. Step 4: Simplify right side
    63,916x = 19,286,543,376
  5. Step 5: Solve for x
    x = 19,286,543,376/63,916
  6. Step 6: Final answer
    x = 301,748.28

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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.