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Finding the Third Proportional to 182,817 and 398,439

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Solution

The third proportional to 182,817 and 398,439 is: 868,374.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,817 : 398,439 = 398,439 : x
  2. Step 2: Convert to fraction form
    182,817/398,439 = 398,439/x
  3. Step 3: Cross multiply
    182,817x = 398,439 × 398,439
  4. Step 4: Simplify right side
    182,817x = 158,753,636,721
  5. Step 5: Solve for x
    x = 158,753,636,721/182,817
  6. Step 6: Final answer
    x = 868,374.59

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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.