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Finding the Third Proportional to 3.20 and 4.98

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Solution

The third proportional to 3.20 and 4.98 is: 7.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.20 : 4.98 = 4.98 : x
  2. Step 2: Convert to fraction form
    3.20/4.98 = 4.98/x
  3. Step 3: Cross multiply
    3.20x = 4.98 × 4.98
  4. Step 4: Simplify right side
    3.20x = 24.83
  5. Step 5: Solve for x
    x = 24.83/3.20
  6. Step 6: Final answer
    x = 7.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.