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Finding the Third Proportional to 7.65 and 12.77

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Solution

The third proportional to 7.65 and 12.77 is: 21.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.65 : 12.77 = 12.77 : x
  2. Step 2: Convert to fraction form
    7.65/12.77 = 12.77/x
  3. Step 3: Cross multiply
    7.65x = 12.77 × 12.77
  4. Step 4: Simplify right side
    7.65x = 163.20
  5. Step 5: Solve for x
    x = 163.20/7.65
  6. Step 6: Final answer
    x = 21.34

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.