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Finding the Third Proportional to 51.75 and 70.88

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Solution

The third proportional to 51.75 and 70.88 is: 97.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.75 : 70.88 = 70.88 : x
  2. Step 2: Convert to fraction form
    51.75/70.88 = 70.88/x
  3. Step 3: Cross multiply
    51.75x = 70.88 × 70.88
  4. Step 4: Simplify right side
    51.75x = 5,023.27
  5. Step 5: Solve for x
    x = 5,023.27/51.75
  6. Step 6: Final answer
    x = 97.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.