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Finding the Third Proportional to 68.88 and 149.56

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Solution

The third proportional to 68.88 and 149.56 is: 324.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.88 : 149.56 = 149.56 : x
  2. Step 2: Convert to fraction form
    68.88/149.56 = 149.56/x
  3. Step 3: Cross multiply
    68.88x = 149.56 × 149.56
  4. Step 4: Simplify right side
    68.88x = 22,368.94
  5. Step 5: Solve for x
    x = 22,368.94/68.88
  6. Step 6: Final answer
    x = 324.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.