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Finding the Third Proportional to 8.83 and 10.08

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Solution

The third proportional to 8.83 and 10.08 is: 11.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.83 : 10.08 = 10.08 : x
  2. Step 2: Convert to fraction form
    8.83/10.08 = 10.08/x
  3. Step 3: Cross multiply
    8.83x = 10.08 × 10.08
  4. Step 4: Simplify right side
    8.83x = 101.70
  5. Step 5: Solve for x
    x = 101.70/8.83
  6. Step 6: Final answer
    x = 11.52

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.