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Finding the Third Proportional to 320.53 and 385.13

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Solution

The third proportional to 320.53 and 385.13 is: 462.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.53 : 385.13 = 385.13 : x
  2. Step 2: Convert to fraction form
    320.53/385.13 = 385.13/x
  3. Step 3: Cross multiply
    320.53x = 385.13 × 385.13
  4. Step 4: Simplify right side
    320.53x = 148,321.27
  5. Step 5: Solve for x
    x = 148,321.27/320.53
  6. Step 6: Final answer
    x = 462.74

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.