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Finding the Third Proportional to 41,325 and 90,566

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Solution

The third proportional to 41,325 and 90,566 is: 198,480.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,325 : 90,566 = 90,566 : x
  2. Step 2: Convert to fraction form
    41,325/90,566 = 90,566/x
  3. Step 3: Cross multiply
    41,325x = 90,566 × 90,566
  4. Step 4: Simplify right side
    41,325x = 8,202,200,356
  5. Step 5: Solve for x
    x = 8,202,200,356/41,325
  6. Step 6: Final answer
    x = 198,480.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.