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Finding the Third Proportional to 182,604 and 398,427

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Solution

The third proportional to 182,604 and 398,427 is: 869,335.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,604 : 398,427 = 398,427 : x
  2. Step 2: Convert to fraction form
    182,604/398,427 = 398,427/x
  3. Step 3: Cross multiply
    182,604x = 398,427 × 398,427
  4. Step 4: Simplify right side
    182,604x = 158,744,074,329
  5. Step 5: Solve for x
    x = 158,744,074,329/182,604
  6. Step 6: Final answer
    x = 869,335.14

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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.