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Finding the Third Proportional to 57.47 and 118.92

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Solution

The third proportional to 57.47 and 118.92 is: 246.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.47 : 118.92 = 118.92 : x
  2. Step 2: Convert to fraction form
    57.47/118.92 = 118.92/x
  3. Step 3: Cross multiply
    57.47x = 118.92 × 118.92
  4. Step 4: Simplify right side
    57.47x = 14,142.41
  5. Step 5: Solve for x
    x = 14,142.41/57.47
  6. Step 6: Final answer
    x = 246.09

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.