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Finding the Third Proportional to 175.97 and 275.86

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Solution

The third proportional to 175.97 and 275.86 is: 432.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.97 : 275.86 = 275.86 : x
  2. Step 2: Convert to fraction form
    175.97/275.86 = 275.86/x
  3. Step 3: Cross multiply
    175.97x = 275.86 × 275.86
  4. Step 4: Simplify right side
    175.97x = 76,098.39
  5. Step 5: Solve for x
    x = 76,098.39/175.97
  6. Step 6: Final answer
    x = 432.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.