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Finding the Third Proportional to 561,716 and 861,348

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Solution

The third proportional to 561,716 and 861,348 is: 1,320,810.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,716 : 861,348 = 861,348 : x
  2. Step 2: Convert to fraction form
    561,716/861,348 = 861,348/x
  3. Step 3: Cross multiply
    561,716x = 861,348 × 861,348
  4. Step 4: Simplify right side
    561,716x = 741,920,377,104
  5. Step 5: Solve for x
    x = 741,920,377,104/561,716
  6. Step 6: Final answer
    x = 1,320,810.48

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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.