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Finding the Third Proportional to 171.02 and 245.85

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Solution

The third proportional to 171.02 and 245.85 is: 353.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.02 : 245.85 = 245.85 : x
  2. Step 2: Convert to fraction form
    171.02/245.85 = 245.85/x
  3. Step 3: Cross multiply
    171.02x = 245.85 × 245.85
  4. Step 4: Simplify right side
    171.02x = 60,440.33
  5. Step 5: Solve for x
    x = 60,440.33/171.02
  6. Step 6: Final answer
    x = 353.40

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.