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Finding the Third Proportional to 527,449 and 817,236

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Solution

The third proportional to 527,449 and 817,236 is: 1,266,235.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,449 : 817,236 = 817,236 : x
  2. Step 2: Convert to fraction form
    527,449/817,236 = 817,236/x
  3. Step 3: Cross multiply
    527,449x = 817,236 × 817,236
  4. Step 4: Simplify right side
    527,449x = 667,874,679,696
  5. Step 5: Solve for x
    x = 667,874,679,696/527,449
  6. Step 6: Final answer
    x = 1,266,235.56

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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.