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Finding the Third Proportional to 395.78 and 858.66

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Solution

The third proportional to 395.78 and 858.66 is: 1,862.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.78 : 858.66 = 858.66 : x
  2. Step 2: Convert to fraction form
    395.78/858.66 = 858.66/x
  3. Step 3: Cross multiply
    395.78x = 858.66 × 858.66
  4. Step 4: Simplify right side
    395.78x = 737,290.56
  5. Step 5: Solve for x
    x = 737,290.56/395.78
  6. Step 6: Final answer
    x = 1,862.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.