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Finding the Third Proportional to 9.99 and 11.17

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Solution

The third proportional to 9.99 and 11.17 is: 12.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.99 : 11.17 = 11.17 : x
  2. Step 2: Convert to fraction form
    9.99/11.17 = 11.17/x
  3. Step 3: Cross multiply
    9.99x = 11.17 × 11.17
  4. Step 4: Simplify right side
    9.99x = 124.84
  5. Step 5: Solve for x
    x = 124.84/9.99
  6. Step 6: Final answer
    x = 12.50

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.