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Finding the Third Proportional to 391,269 and 824,567

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Solution

The third proportional to 391,269 and 824,567 is: 1,737,706.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,269 : 824,567 = 824,567 : x
  2. Step 2: Convert to fraction form
    391,269/824,567 = 824,567/x
  3. Step 3: Cross multiply
    391,269x = 824,567 × 824,567
  4. Step 4: Simplify right side
    391,269x = 679,910,737,489
  5. Step 5: Solve for x
    x = 679,910,737,489/391,269
  6. Step 6: Final answer
    x = 1,737,706.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.