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Finding the Third Proportional to 815 and 1,781.88

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Solution

The third proportional to 815 and 1,781.88 is: 3,895.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    815 : 1,781.88 = 1,781.88 : x
  2. Step 2: Convert to fraction form
    815/1,781.88 = 1,781.88/x
  3. Step 3: Cross multiply
    815x = 1,781.88 × 1,781.88
  4. Step 4: Simplify right side
    815x = 3,175,078.52
  5. Step 5: Solve for x
    x = 3,175,078.52/815
  6. Step 6: Final answer
    x = 3,895.80

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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.