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Finding the Third Proportional to 865.78 and 1,177.17

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Solution

The third proportional to 865.78 and 1,177.17 is: 1,600.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.78 : 1,177.17 = 1,177.17 : x
  2. Step 2: Convert to fraction form
    865.78/1,177.17 = 1,177.17/x
  3. Step 3: Cross multiply
    865.78x = 1,177.17 × 1,177.17
  4. Step 4: Simplify right side
    865.78x = 1,385,733.62
  5. Step 5: Solve for x
    x = 1,385,733.62/865.78
  6. Step 6: Final answer
    x = 1,600.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.