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Finding the Third Proportional to 492.33 and 748.76

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Solution

The third proportional to 492.33 and 748.76 is: 1,138.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.33 : 748.76 = 748.76 : x
  2. Step 2: Convert to fraction form
    492.33/748.76 = 748.76/x
  3. Step 3: Cross multiply
    492.33x = 748.76 × 748.76
  4. Step 4: Simplify right side
    492.33x = 560,638.26
  5. Step 5: Solve for x
    x = 560,638.26/492.33
  6. Step 6: Final answer
    x = 1,138.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.