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Finding the Third Proportional to 63,891 and 135,978

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Solution

The third proportional to 63,891 and 135,978 is: 289,399.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,891 : 135,978 = 135,978 : x
  2. Step 2: Convert to fraction form
    63,891/135,978 = 135,978/x
  3. Step 3: Cross multiply
    63,891x = 135,978 × 135,978
  4. Step 4: Simplify right side
    63,891x = 18,490,016,484
  5. Step 5: Solve for x
    x = 18,490,016,484/63,891
  6. Step 6: Final answer
    x = 289,399.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.