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Finding the Third Proportional to 185,508 and 281,808

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Solution

The third proportional to 185,508 and 281,808 is: 428,098.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,508 : 281,808 = 281,808 : x
  2. Step 2: Convert to fraction form
    185,508/281,808 = 281,808/x
  3. Step 3: Cross multiply
    185,508x = 281,808 × 281,808
  4. Step 4: Simplify right side
    185,508x = 79,415,748,864
  5. Step 5: Solve for x
    x = 79,415,748,864/185,508
  6. Step 6: Final answer
    x = 428,098.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.