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Finding the Third Proportional to 814.78 and 1,781.44

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Solution

The third proportional to 814.78 and 1,781.44 is: 3,894.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.78 : 1,781.44 = 1,781.44 : x
  2. Step 2: Convert to fraction form
    814.78/1,781.44 = 1,781.44/x
  3. Step 3: Cross multiply
    814.78x = 1,781.44 × 1,781.44
  4. Step 4: Simplify right side
    814.78x = 3,173,519.57
  5. Step 5: Solve for x
    x = 3,173,519.57/814.78
  6. Step 6: Final answer
    x = 3,894.93

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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.