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Finding the Third Proportional to 175.75 and 258.13

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Solution

The third proportional to 175.75 and 258.13 is: 379.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.75 : 258.13 = 258.13 : x
  2. Step 2: Convert to fraction form
    175.75/258.13 = 258.13/x
  3. Step 3: Cross multiply
    175.75x = 258.13 × 258.13
  4. Step 4: Simplify right side
    175.75x = 66,628.52
  5. Step 5: Solve for x
    x = 66,628.52/175.75
  6. Step 6: Final answer
    x = 379.11

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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.