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Finding the Third Proportional to 36,439 and 55,414

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Solution

The third proportional to 36,439 and 55,414 is: 84,269.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,439 : 55,414 = 55,414 : x
  2. Step 2: Convert to fraction form
    36,439/55,414 = 55,414/x
  3. Step 3: Cross multiply
    36,439x = 55,414 × 55,414
  4. Step 4: Simplify right side
    36,439x = 3,070,711,396
  5. Step 5: Solve for x
    x = 3,070,711,396/36,439
  6. Step 6: Final answer
    x = 84,269.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.