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Finding the Third Proportional to 7.83 and 10.68

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Solution

The third proportional to 7.83 and 10.68 is: 14.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.83 : 10.68 = 10.68 : x
  2. Step 2: Convert to fraction form
    7.83/10.68 = 10.68/x
  3. Step 3: Cross multiply
    7.83x = 10.68 × 10.68
  4. Step 4: Simplify right side
    7.83x = 114.03
  5. Step 5: Solve for x
    x = 114.03/7.83
  6. Step 6: Final answer
    x = 14.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.