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Finding the Third Proportional to 106.66 and 170.05

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Solution

The third proportional to 106.66 and 170.05 is: 271.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.66 : 170.05 = 170.05 : x
  2. Step 2: Convert to fraction form
    106.66/170.05 = 170.05/x
  3. Step 3: Cross multiply
    106.66x = 170.05 × 170.05
  4. Step 4: Simplify right side
    106.66x = 28,915.94
  5. Step 5: Solve for x
    x = 28,915.94/106.66
  6. Step 6: Final answer
    x = 271.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.