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Finding the Third Proportional to 182,897 and 398,872

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Solution

The third proportional to 182,897 and 398,872 is: 869,882.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,897 : 398,872 = 398,872 : x
  2. Step 2: Convert to fraction form
    182,897/398,872 = 398,872/x
  3. Step 3: Cross multiply
    182,897x = 398,872 × 398,872
  4. Step 4: Simplify right side
    182,897x = 159,098,872,384
  5. Step 5: Solve for x
    x = 159,098,872,384/182,897
  6. Step 6: Final answer
    x = 869,882.35

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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.