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Finding the Third Proportional to 175.71 and 310.92

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Solution

The third proportional to 175.71 and 310.92 is: 550.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.71 : 310.92 = 310.92 : x
  2. Step 2: Convert to fraction form
    175.71/310.92 = 310.92/x
  3. Step 3: Cross multiply
    175.71x = 310.92 × 310.92
  4. Step 4: Simplify right side
    175.71x = 96,672.41
  5. Step 5: Solve for x
    x = 96,672.41/175.71
  6. Step 6: Final answer
    x = 550.18

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.