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Finding the Third Proportional to 125.96 and 170.28

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Solution

The third proportional to 125.96 and 170.28 is: 230.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.96 : 170.28 = 170.28 : x
  2. Step 2: Convert to fraction form
    125.96/170.28 = 170.28/x
  3. Step 3: Cross multiply
    125.96x = 170.28 × 170.28
  4. Step 4: Simplify right side
    125.96x = 28,995.04
  5. Step 5: Solve for x
    x = 28,995.04/125.96
  6. Step 6: Final answer
    x = 230.18

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.