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Finding the Third Proportional to 40,418 and 82,480

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Solution

The third proportional to 40,418 and 82,480 is: 168,314.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,418 : 82,480 = 82,480 : x
  2. Step 2: Convert to fraction form
    40,418/82,480 = 82,480/x
  3. Step 3: Cross multiply
    40,418x = 82,480 × 82,480
  4. Step 4: Simplify right side
    40,418x = 6,802,950,400
  5. Step 5: Solve for x
    x = 6,802,950,400/40,418
  6. Step 6: Final answer
    x = 168,314.87

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.