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Finding the Third Proportional to 527,278 and 817,132

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Solution

The third proportional to 527,278 and 817,132 is: 1,266,323.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,278 : 817,132 = 817,132 : x
  2. Step 2: Convert to fraction form
    527,278/817,132 = 817,132/x
  3. Step 3: Cross multiply
    527,278x = 817,132 × 817,132
  4. Step 4: Simplify right side
    527,278x = 667,704,705,424
  5. Step 5: Solve for x
    x = 667,704,705,424/527,278
  6. Step 6: Final answer
    x = 1,266,323.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.