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Finding the Third Proportional to 8.03 and 11.77

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Solution

The third proportional to 8.03 and 11.77 is: 17.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.03 : 11.77 = 11.77 : x
  2. Step 2: Convert to fraction form
    8.03/11.77 = 11.77/x
  3. Step 3: Cross multiply
    8.03x = 11.77 × 11.77
  4. Step 4: Simplify right side
    8.03x = 138.46
  5. Step 5: Solve for x
    x = 138.46/8.03
  6. Step 6: Final answer
    x = 17.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.