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Finding the Third Proportional to 185,486 and 278,269

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Solution

The third proportional to 185,486 and 278,269 is: 417,463.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,486 : 278,269 = 278,269 : x
  2. Step 2: Convert to fraction form
    185,486/278,269 = 278,269/x
  3. Step 3: Cross multiply
    185,486x = 278,269 × 278,269
  4. Step 4: Simplify right side
    185,486x = 77,433,636,361
  5. Step 5: Solve for x
    x = 77,433,636,361/185,486
  6. Step 6: Final answer
    x = 417,463.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.