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Finding the Third Proportional to 6.47 and 9.05

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Solution

The third proportional to 6.47 and 9.05 is: 12.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.47 : 9.05 = 9.05 : x
  2. Step 2: Convert to fraction form
    6.47/9.05 = 9.05/x
  3. Step 3: Cross multiply
    6.47x = 9.05 × 9.05
  4. Step 4: Simplify right side
    6.47x = 81.85
  5. Step 5: Solve for x
    x = 81.85/6.47
  6. Step 6: Final answer
    x = 12.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.