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Finding the Third Proportional to 148.63 and 217.44

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Solution

The third proportional to 148.63 and 217.44 is: 318.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.63 : 217.44 = 217.44 : x
  2. Step 2: Convert to fraction form
    148.63/217.44 = 217.44/x
  3. Step 3: Cross multiply
    148.63x = 217.44 × 217.44
  4. Step 4: Simplify right side
    148.63x = 47,279.07
  5. Step 5: Solve for x
    x = 47,279.07/148.63
  6. Step 6: Final answer
    x = 318.11

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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.