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Finding the Third Proportional to 561,474 and 863,897

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Solution

The third proportional to 561,474 and 863,897 is: 1,329,212.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,474 : 863,897 = 863,897 : x
  2. Step 2: Convert to fraction form
    561,474/863,897 = 863,897/x
  3. Step 3: Cross multiply
    561,474x = 863,897 × 863,897
  4. Step 4: Simplify right side
    561,474x = 746,318,026,609
  5. Step 5: Solve for x
    x = 746,318,026,609/561,474
  6. Step 6: Final answer
    x = 1,329,212.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.