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Finding the Third Proportional to 101.06 and 178.78

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Solution

The third proportional to 101.06 and 178.78 is: 316.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.06 : 178.78 = 178.78 : x
  2. Step 2: Convert to fraction form
    101.06/178.78 = 178.78/x
  3. Step 3: Cross multiply
    101.06x = 178.78 × 178.78
  4. Step 4: Simplify right side
    101.06x = 31,962.74
  5. Step 5: Solve for x
    x = 31,962.74/101.06
  6. Step 6: Final answer
    x = 316.27

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.