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Finding the Third Proportional to 170.16 and 225.42

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Solution

The third proportional to 170.16 and 225.42 is: 298.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.16 : 225.42 = 225.42 : x
  2. Step 2: Convert to fraction form
    170.16/225.42 = 225.42/x
  3. Step 3: Cross multiply
    170.16x = 225.42 × 225.42
  4. Step 4: Simplify right side
    170.16x = 50,815.02
  5. Step 5: Solve for x
    x = 50,815.02/170.16
  6. Step 6: Final answer
    x = 298.64

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.