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Finding the Third Proportional to 4.30 and 6.79

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Solution

The third proportional to 4.30 and 6.79 is: 10.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.30 : 6.79 = 6.79 : x
  2. Step 2: Convert to fraction form
    4.30/6.79 = 6.79/x
  3. Step 3: Cross multiply
    4.30x = 6.79 × 6.79
  4. Step 4: Simplify right side
    4.30x = 46.16
  5. Step 5: Solve for x
    x = 46.16/4.30
  6. Step 6: Final answer
    x = 10.73

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.