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Finding the Third Proportional to 561,722 and 861,353

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Solution

The third proportional to 561,722 and 861,353 is: 1,320,811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,722 : 861,353 = 861,353 : x
  2. Step 2: Convert to fraction form
    561,722/861,353 = 861,353/x
  3. Step 3: Cross multiply
    561,722x = 861,353 × 861,353
  4. Step 4: Simplify right side
    561,722x = 741,928,990,609
  5. Step 5: Solve for x
    x = 741,928,990,609/561,722
  6. Step 6: Final answer
    x = 1,320,811.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.