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Finding the Third Proportional to 171.68 and 405.12

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Solution

The third proportional to 171.68 and 405.12 is: 955.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.68 : 405.12 = 405.12 : x
  2. Step 2: Convert to fraction form
    171.68/405.12 = 405.12/x
  3. Step 3: Cross multiply
    171.68x = 405.12 × 405.12
  4. Step 4: Simplify right side
    171.68x = 164,119.94
  5. Step 5: Solve for x
    x = 164,119.94/171.68
  6. Step 6: Final answer
    x = 955.97

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.