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Finding the Third Proportional to 10.77 and 13.07

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Solution

The third proportional to 10.77 and 13.07 is: 15.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.77 : 13.07 = 13.07 : x
  2. Step 2: Convert to fraction form
    10.77/13.07 = 13.07/x
  3. Step 3: Cross multiply
    10.77x = 13.07 × 13.07
  4. Step 4: Simplify right side
    10.77x = 170.73
  5. Step 5: Solve for x
    x = 170.73/10.77
  6. Step 6: Final answer
    x = 15.85

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.