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Finding the Third Proportional to 68.66 and 148.79

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Solution

The third proportional to 68.66 and 148.79 is: 322.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.66 : 148.79 = 148.79 : x
  2. Step 2: Convert to fraction form
    68.66/148.79 = 148.79/x
  3. Step 3: Cross multiply
    68.66x = 148.79 × 148.79
  4. Step 4: Simplify right side
    68.66x = 22,138.48
  5. Step 5: Solve for x
    x = 22,138.48/68.66
  6. Step 6: Final answer
    x = 322.44

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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.