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Finding the Third Proportional to 372.88 and 863.13

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Solution

The third proportional to 372.88 and 863.13 is: 1,997.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.88 : 863.13 = 863.13 : x
  2. Step 2: Convert to fraction form
    372.88/863.13 = 863.13/x
  3. Step 3: Cross multiply
    372.88x = 863.13 × 863.13
  4. Step 4: Simplify right side
    372.88x = 744,984.77
  5. Step 5: Solve for x
    x = 744,984.77/372.88
  6. Step 6: Final answer
    x = 1,997.95

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.