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Finding the Third Proportional to 57.19 and 87.88

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Solution

The third proportional to 57.19 and 87.88 is: 135.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.19 : 87.88 = 87.88 : x
  2. Step 2: Convert to fraction form
    57.19/87.88 = 87.88/x
  3. Step 3: Cross multiply
    57.19x = 87.88 × 87.88
  4. Step 4: Simplify right side
    57.19x = 7,722.02
  5. Step 5: Solve for x
    x = 7,722.02/57.19
  6. Step 6: Final answer
    x = 135.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.