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Finding the Third Proportional to 6,811.13 and 9,379.50

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Solution

The third proportional to 6,811.13 and 9,379.50 is: 12,916.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.13 : 9,379.50 = 9,379.50 : x
  2. Step 2: Convert to fraction form
    6,811.13/9,379.50 = 9,379.50/x
  3. Step 3: Cross multiply
    6,811.13x = 9,379.50 × 9,379.50
  4. Step 4: Simplify right side
    6,811.13x = 87,975,020.25
  5. Step 5: Solve for x
    x = 87,975,020.25/6,811.13
  6. Step 6: Final answer
    x = 12,916.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.