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Finding the Third Proportional to 118.80 and 262.92

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Solution

The third proportional to 118.80 and 262.92 is: 581.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.80 : 262.92 = 262.92 : x
  2. Step 2: Convert to fraction form
    118.80/262.92 = 262.92/x
  3. Step 3: Cross multiply
    118.80x = 262.92 × 262.92
  4. Step 4: Simplify right side
    118.80x = 69,127.91
  5. Step 5: Solve for x
    x = 69,127.91/118.80
  6. Step 6: Final answer
    x = 581.86

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.