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Finding the Third Proportional to 391.63 and 860.88

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Solution

The third proportional to 391.63 and 860.88 is: 1,892.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.63 : 860.88 = 860.88 : x
  2. Step 2: Convert to fraction form
    391.63/860.88 = 860.88/x
  3. Step 3: Cross multiply
    391.63x = 860.88 × 860.88
  4. Step 4: Simplify right side
    391.63x = 741,105.77
  5. Step 5: Solve for x
    x = 741,105.77/391.63
  6. Step 6: Final answer
    x = 1,892.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.