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Finding the Third Proportional to 115.73 and 247.92

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Solution

The third proportional to 115.73 and 247.92 is: 531.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.73 : 247.92 = 247.92 : x
  2. Step 2: Convert to fraction form
    115.73/247.92 = 247.92/x
  3. Step 3: Cross multiply
    115.73x = 247.92 × 247.92
  4. Step 4: Simplify right side
    115.73x = 61,465.26
  5. Step 5: Solve for x
    x = 61,465.26/115.73
  6. Step 6: Final answer
    x = 531.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.