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Finding the Third Proportional to 43 and 57.88

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Solution

The third proportional to 43 and 57.88 is: 77.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    43 : 57.88 = 57.88 : x
  2. Step 2: Convert to fraction form
    43/57.88 = 57.88/x
  3. Step 3: Cross multiply
    43x = 57.88 × 57.88
  4. Step 4: Simplify right side
    43x = 3,349.52
  5. Step 5: Solve for x
    x = 3,349.52/43
  6. Step 6: Final answer
    x = 77.90

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.