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Finding the Third Proportional to 7.65 and 10.23

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Solution

The third proportional to 7.65 and 10.23 is: 13.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.65 : 10.23 = 10.23 : x
  2. Step 2: Convert to fraction form
    7.65/10.23 = 10.23/x
  3. Step 3: Cross multiply
    7.65x = 10.23 × 10.23
  4. Step 4: Simplify right side
    7.65x = 104.73
  5. Step 5: Solve for x
    x = 104.73/7.65
  6. Step 6: Final answer
    x = 13.68

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.