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Finding the Third Proportional to 34.06 and 77.66

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Solution

The third proportional to 34.06 and 77.66 is: 177.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.06 : 77.66 = 77.66 : x
  2. Step 2: Convert to fraction form
    34.06/77.66 = 77.66/x
  3. Step 3: Cross multiply
    34.06x = 77.66 × 77.66
  4. Step 4: Simplify right side
    34.06x = 6,030.49
  5. Step 5: Solve for x
    x = 6,030.49/34.06
  6. Step 6: Final answer
    x = 177.04

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.