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Finding the Third Proportional to 51.89 and 59.96

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Solution

The third proportional to 51.89 and 59.96 is: 69.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.89 : 59.96 = 59.96 : x
  2. Step 2: Convert to fraction form
    51.89/59.96 = 59.96/x
  3. Step 3: Cross multiply
    51.89x = 59.96 × 59.96
  4. Step 4: Simplify right side
    51.89x = 3,595.08
  5. Step 5: Solve for x
    x = 3,595.08/51.89
  6. Step 6: Final answer
    x = 69.28

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.