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Finding the Third Proportional to 175.13 and 257.71

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Solution

The third proportional to 175.13 and 257.71 is: 379.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.13 : 257.71 = 257.71 : x
  2. Step 2: Convert to fraction form
    175.13/257.71 = 257.71/x
  3. Step 3: Cross multiply
    175.13x = 257.71 × 257.71
  4. Step 4: Simplify right side
    175.13x = 66,415.93
  5. Step 5: Solve for x
    x = 66,415.93/175.13
  6. Step 6: Final answer
    x = 379.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.