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Finding the Third Proportional to 853.88 and 1,375.31

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Solution

The third proportional to 853.88 and 1,375.31 is: 2,215.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.88 : 1,375.31 = 1,375.31 : x
  2. Step 2: Convert to fraction form
    853.88/1,375.31 = 1,375.31/x
  3. Step 3: Cross multiply
    853.88x = 1,375.31 × 1,375.31
  4. Step 4: Simplify right side
    853.88x = 1,891,484.47
  5. Step 5: Solve for x
    x = 1,891,484.47/853.88
  6. Step 6: Final answer
    x = 2,215.18

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.