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Finding the Third Proportional to 182,601 and 398,418

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Solution

The third proportional to 182,601 and 398,418 is: 869,310.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,601 : 398,418 = 398,418 : x
  2. Step 2: Convert to fraction form
    182,601/398,418 = 398,418/x
  3. Step 3: Cross multiply
    182,601x = 398,418 × 398,418
  4. Step 4: Simplify right side
    182,601x = 158,736,902,724
  5. Step 5: Solve for x
    x = 158,736,902,724/182,601
  6. Step 6: Final answer
    x = 869,310.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.