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Finding the Third Proportional to 63,891.50 and 135,979

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Solution

The third proportional to 63,891.50 and 135,979 is: 289,401.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,891.50 : 135,979 = 135,979 : x
  2. Step 2: Convert to fraction form
    63,891.50/135,979 = 135,979/x
  3. Step 3: Cross multiply
    63,891.50x = 135,979 × 135,979
  4. Step 4: Simplify right side
    63,891.50x = 18,490,288,441
  5. Step 5: Solve for x
    x = 18,490,288,441/63,891.50
  6. Step 6: Final answer
    x = 289,401.38

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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.