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Finding the Third Proportional to 148.08 and 318.52

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Solution

The third proportional to 148.08 and 318.52 is: 685.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.08 : 318.52 = 318.52 : x
  2. Step 2: Convert to fraction form
    148.08/318.52 = 318.52/x
  3. Step 3: Cross multiply
    148.08x = 318.52 × 318.52
  4. Step 4: Simplify right side
    148.08x = 101,452.20
  5. Step 5: Solve for x
    x = 101,452.20/148.08
  6. Step 6: Final answer
    x = 685.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.