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Finding the Third Proportional to 320.94 and 748.81

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Solution

The third proportional to 320.94 and 748.81 is: 1,747.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.94 : 748.81 = 748.81 : x
  2. Step 2: Convert to fraction form
    320.94/748.81 = 748.81/x
  3. Step 3: Cross multiply
    320.94x = 748.81 × 748.81
  4. Step 4: Simplify right side
    320.94x = 560,720.16
  5. Step 5: Solve for x
    x = 560,720.16/320.94
  6. Step 6: Final answer
    x = 1,747.13

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.