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Finding the Third Proportional to 375.18 and 863.55

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Solution

The third proportional to 375.18 and 863.55 is: 1,987.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.18 : 863.55 = 863.55 : x
  2. Step 2: Convert to fraction form
    375.18/863.55 = 863.55/x
  3. Step 3: Cross multiply
    375.18x = 863.55 × 863.55
  4. Step 4: Simplify right side
    375.18x = 745,721.64
  5. Step 5: Solve for x
    x = 745,721.64/375.18
  6. Step 6: Final answer
    x = 1,987.64

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.