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Finding the Third Proportional to 54,402.75 and 84,069

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Solution

The third proportional to 54,402.75 and 84,069 is: 129,912.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,402.75 : 84,069 = 84,069 : x
  2. Step 2: Convert to fraction form
    54,402.75/84,069 = 84,069/x
  3. Step 3: Cross multiply
    54,402.75x = 84,069 × 84,069
  4. Step 4: Simplify right side
    54,402.75x = 7,067,596,761
  5. Step 5: Solve for x
    x = 7,067,596,761/54,402.75
  6. Step 6: Final answer
    x = 129,912.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.