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Finding the Third Proportional to 9.87 and 20.98

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Solution

The third proportional to 9.87 and 20.98 is: 44.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.87 : 20.98 = 20.98 : x
  2. Step 2: Convert to fraction form
    9.87/20.98 = 20.98/x
  3. Step 3: Cross multiply
    9.87x = 20.98 × 20.98
  4. Step 4: Simplify right side
    9.87x = 440.02
  5. Step 5: Solve for x
    x = 440.02/9.87
  6. Step 6: Final answer
    x = 44.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.