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Finding the Third Proportional to 9.97 and 21.99

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Solution

The third proportional to 9.97 and 21.99 is: 48.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.97 : 21.99 = 21.99 : x
  2. Step 2: Convert to fraction form
    9.97/21.99 = 21.99/x
  3. Step 3: Cross multiply
    9.97x = 21.99 × 21.99
  4. Step 4: Simplify right side
    9.97x = 483.57
  5. Step 5: Solve for x
    x = 483.57/9.97
  6. Step 6: Final answer
    x = 48.52

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.