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Finding the Third Proportional to 148.13 and 216.88

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Solution

The third proportional to 148.13 and 216.88 is: 317.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.13 : 216.88 = 216.88 : x
  2. Step 2: Convert to fraction form
    148.13/216.88 = 216.88/x
  3. Step 3: Cross multiply
    148.13x = 216.88 × 216.88
  4. Step 4: Simplify right side
    148.13x = 47,034.77
  5. Step 5: Solve for x
    x = 47,034.77/148.13
  6. Step 6: Final answer
    x = 317.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.