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Finding the Third Proportional to 18,280.69 and 40,743

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Solution

The third proportional to 18,280.69 and 40,743 is: 90,805.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,280.69 : 40,743 = 40,743 : x
  2. Step 2: Convert to fraction form
    18,280.69/40,743 = 40,743/x
  3. Step 3: Cross multiply
    18,280.69x = 40,743 × 40,743
  4. Step 4: Simplify right side
    18,280.69x = 1,659,992,049
  5. Step 5: Solve for x
    x = 1,659,992,049/18,280.69
  6. Step 6: Final answer
    x = 90,805.78

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.