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Finding the Third Proportional to 146.75 and 218.13

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Solution

The third proportional to 146.75 and 218.13 is: 324.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.75 : 218.13 = 218.13 : x
  2. Step 2: Convert to fraction form
    146.75/218.13 = 218.13/x
  3. Step 3: Cross multiply
    146.75x = 218.13 × 218.13
  4. Step 4: Simplify right side
    146.75x = 47,578.52
  5. Step 5: Solve for x
    x = 47,578.52/146.75
  6. Step 6: Final answer
    x = 324.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.