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Finding the Third Proportional to 43,549 and 67,287

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Solution

The third proportional to 43,549 and 67,287 is: 103,964.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,549 : 67,287 = 67,287 : x
  2. Step 2: Convert to fraction form
    43,549/67,287 = 67,287/x
  3. Step 3: Cross multiply
    43,549x = 67,287 × 67,287
  4. Step 4: Simplify right side
    43,549x = 4,527,540,369
  5. Step 5: Solve for x
    x = 4,527,540,369/43,549
  6. Step 6: Final answer
    x = 103,964.28

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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.