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Finding the Third Proportional to 861.25 and 1,882.75

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Solution

The third proportional to 861.25 and 1,882.75 is: 4,115.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.25 : 1,882.75 = 1,882.75 : x
  2. Step 2: Convert to fraction form
    861.25/1,882.75 = 1,882.75/x
  3. Step 3: Cross multiply
    861.25x = 1,882.75 × 1,882.75
  4. Step 4: Simplify right side
    861.25x = 3,544,747.56
  5. Step 5: Solve for x
    x = 3,544,747.56/861.25
  6. Step 6: Final answer
    x = 4,115.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.