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Finding the Third Proportional to 147.23 and 218.11

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Solution

The third proportional to 147.23 and 218.11 is: 323.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.23 : 218.11 = 218.11 : x
  2. Step 2: Convert to fraction form
    147.23/218.11 = 218.11/x
  3. Step 3: Cross multiply
    147.23x = 218.11 × 218.11
  4. Step 4: Simplify right side
    147.23x = 47,571.70
  5. Step 5: Solve for x
    x = 47,571.70/147.23
  6. Step 6: Final answer
    x = 323.10

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.