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Finding the Third Proportional to 6,910.31 and 9,342.84

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Solution

The third proportional to 6,910.31 and 9,342.84 is: 12,631.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,910.31 : 9,342.84 = 9,342.84 : x
  2. Step 2: Convert to fraction form
    6,910.31/9,342.84 = 9,342.84/x
  3. Step 3: Cross multiply
    6,910.31x = 9,342.84 × 9,342.84
  4. Step 4: Simplify right side
    6,910.31x = 87,288,729.34
  5. Step 5: Solve for x
    x = 87,288,729.34/6,910.31
  6. Step 6: Final answer
    x = 12,631.66

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.