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Finding the Third Proportional to 171.39 and 265.63

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Solution

The third proportional to 171.39 and 265.63 is: 411.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.39 : 265.63 = 265.63 : x
  2. Step 2: Convert to fraction form
    171.39/265.63 = 265.63/x
  3. Step 3: Cross multiply
    171.39x = 265.63 × 265.63
  4. Step 4: Simplify right side
    171.39x = 70,560.86
  5. Step 5: Solve for x
    x = 70,560.86/171.39
  6. Step 6: Final answer
    x = 411.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.