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Finding the Third Proportional to 171.18 and 264.20

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Solution

The third proportional to 171.18 and 264.20 is: 407.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.18 : 264.20 = 264.20 : x
  2. Step 2: Convert to fraction form
    171.18/264.20 = 264.20/x
  3. Step 3: Cross multiply
    171.18x = 264.20 × 264.20
  4. Step 4: Simplify right side
    171.18x = 69,801.23
  5. Step 5: Solve for x
    x = 69,801.23/171.18
  6. Step 6: Final answer
    x = 407.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.