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Finding the Third Proportional to 68.77 and 106.66

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Solution

The third proportional to 68.77 and 106.66 is: 165.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.77 : 106.66 = 106.66 : x
  2. Step 2: Convert to fraction form
    68.77/106.66 = 106.66/x
  3. Step 3: Cross multiply
    68.77x = 106.66 × 106.66
  4. Step 4: Simplify right side
    68.77x = 11,377.22
  5. Step 5: Solve for x
    x = 11,377.22/68.77
  6. Step 6: Final answer
    x = 165.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.