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Finding the Third Proportional to 57.38 and 125.51

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Solution

The third proportional to 57.38 and 125.51 is: 274.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.38 : 125.51 = 125.51 : x
  2. Step 2: Convert to fraction form
    57.38/125.51 = 125.51/x
  3. Step 3: Cross multiply
    57.38x = 125.51 × 125.51
  4. Step 4: Simplify right side
    57.38x = 15,752.21
  5. Step 5: Solve for x
    x = 15,752.21/57.38
  6. Step 6: Final answer
    x = 274.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.