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Finding the Third Proportional to 3.32 and 5.08

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Solution

The third proportional to 3.32 and 5.08 is: 7.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.32 : 5.08 = 5.08 : x
  2. Step 2: Convert to fraction form
    3.32/5.08 = 5.08/x
  3. Step 3: Cross multiply
    3.32x = 5.08 × 5.08
  4. Step 4: Simplify right side
    3.32x = 25.78
  5. Step 5: Solve for x
    x = 25.78/3.32
  6. Step 6: Final answer
    x = 7.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.