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Finding the Third Proportional to 561,717 and 861,345

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Solution

The third proportional to 561,717 and 861,345 is: 1,320,798.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,717 : 861,345 = 861,345 : x
  2. Step 2: Convert to fraction form
    561,717/861,345 = 861,345/x
  3. Step 3: Cross multiply
    561,717x = 861,345 × 861,345
  4. Step 4: Simplify right side
    561,717x = 741,915,209,025
  5. Step 5: Solve for x
    x = 741,915,209,025/561,717
  6. Step 6: Final answer
    x = 1,320,798.92

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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.