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Finding the Third Proportional to 527,156 and 816,980

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Solution

The third proportional to 527,156 and 816,980 is: 1,266,145.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,156 : 816,980 = 816,980 : x
  2. Step 2: Convert to fraction form
    527,156/816,980 = 816,980/x
  3. Step 3: Cross multiply
    527,156x = 816,980 × 816,980
  4. Step 4: Simplify right side
    527,156x = 667,456,320,400
  5. Step 5: Solve for x
    x = 667,456,320,400/527,156
  6. Step 6: Final answer
    x = 1,266,145.73

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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.