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Finding the Third Proportional to 6.48 and 11.78

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Solution

The third proportional to 6.48 and 11.78 is: 21.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.48 : 11.78 = 11.78 : x
  2. Step 2: Convert to fraction form
    6.48/11.78 = 11.78/x
  3. Step 3: Cross multiply
    6.48x = 11.78 × 11.78
  4. Step 4: Simplify right side
    6.48x = 138.87
  5. Step 5: Solve for x
    x = 138.87/6.48
  6. Step 6: Final answer
    x = 21.43

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Why These Related Problems?

These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.