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Finding the Third Proportional to 171.65 and 355.46

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Solution

The third proportional to 171.65 and 355.46 is: 736.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.65 : 355.46 = 355.46 : x
  2. Step 2: Convert to fraction form
    171.65/355.46 = 355.46/x
  3. Step 3: Cross multiply
    171.65x = 355.46 × 355.46
  4. Step 4: Simplify right side
    171.65x = 126,355.26
  5. Step 5: Solve for x
    x = 126,355.26/171.65
  6. Step 6: Final answer
    x = 736.12

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.