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Finding the Third Proportional to 6.78 and 9.93

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Solution

The third proportional to 6.78 and 9.93 is: 14.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.78 : 9.93 = 9.93 : x
  2. Step 2: Convert to fraction form
    6.78/9.93 = 9.93/x
  3. Step 3: Cross multiply
    6.78x = 9.93 × 9.93
  4. Step 4: Simplify right side
    6.78x = 98.57
  5. Step 5: Solve for x
    x = 98.57/6.78
  6. Step 6: Final answer
    x = 14.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.