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Finding the Third Proportional to 4.98 and 9.96

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Solution

The third proportional to 4.98 and 9.96 is: 19.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.98 : 9.96 = 9.96 : x
  2. Step 2: Convert to fraction form
    4.98/9.96 = 9.96/x
  3. Step 3: Cross multiply
    4.98x = 9.96 × 9.96
  4. Step 4: Simplify right side
    4.98x = 99.15
  5. Step 5: Solve for x
    x = 99.15/4.98
  6. Step 6: Final answer
    x = 19.91

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.