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Finding the Third Proportional to 748.31 and 1,630.88

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Solution

The third proportional to 748.31 and 1,630.88 is: 3,554.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.31 : 1,630.88 = 1,630.88 : x
  2. Step 2: Convert to fraction form
    748.31/1,630.88 = 1,630.88/x
  3. Step 3: Cross multiply
    748.31x = 1,630.88 × 1,630.88
  4. Step 4: Simplify right side
    748.31x = 2,659,753.27
  5. Step 5: Solve for x
    x = 2,659,753.27/748.31
  6. Step 6: Final answer
    x = 3,554.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.