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Finding the Third Proportional to 185,481 and 278,262

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Solution

The third proportional to 185,481 and 278,262 is: 417,453.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,481 : 278,262 = 278,262 : x
  2. Step 2: Convert to fraction form
    185,481/278,262 = 278,262/x
  3. Step 3: Cross multiply
    185,481x = 278,262 × 278,262
  4. Step 4: Simplify right side
    185,481x = 77,429,740,644
  5. Step 5: Solve for x
    x = 77,429,740,644/185,481
  6. Step 6: Final answer
    x = 417,453.76

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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.