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Finding the Third Proportional to 5.28 and 7.89

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Solution

The third proportional to 5.28 and 7.89 is: 11.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.28 : 7.89 = 7.89 : x
  2. Step 2: Convert to fraction form
    5.28/7.89 = 7.89/x
  3. Step 3: Cross multiply
    5.28x = 7.89 × 7.89
  4. Step 4: Simplify right side
    5.28x = 62.26
  5. Step 5: Solve for x
    x = 62.26/5.28
  6. Step 6: Final answer
    x = 11.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.