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Finding the Third Proportional to 68.41 and 150.12

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Solution

The third proportional to 68.41 and 150.12 is: 329.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.41 : 150.12 = 150.12 : x
  2. Step 2: Convert to fraction form
    68.41/150.12 = 150.12/x
  3. Step 3: Cross multiply
    68.41x = 150.12 × 150.12
  4. Step 4: Simplify right side
    68.41x = 22,535.17
  5. Step 5: Solve for x
    x = 22,535.17/68.41
  6. Step 6: Final answer
    x = 329.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.