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Finding the Third Proportional to 40,689 and 54,000

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Solution

The third proportional to 40,689 and 54,000 is: 71,665.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,689 : 54,000 = 54,000 : x
  2. Step 2: Convert to fraction form
    40,689/54,000 = 54,000/x
  3. Step 3: Cross multiply
    40,689x = 54,000 × 54,000
  4. Step 4: Simplify right side
    40,689x = 2,916,000,000
  5. Step 5: Solve for x
    x = 2,916,000,000/40,689
  6. Step 6: Final answer
    x = 71,665.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.