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Finding the Third Proportional to 3,186.38 and 6,988.31

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Solution

The third proportional to 3,186.38 and 6,988.31 is: 15,326.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.38 : 6,988.31 = 6,988.31 : x
  2. Step 2: Convert to fraction form
    3,186.38/6,988.31 = 6,988.31/x
  3. Step 3: Cross multiply
    3,186.38x = 6,988.31 × 6,988.31
  4. Step 4: Simplify right side
    3,186.38x = 48,836,511.60
  5. Step 5: Solve for x
    x = 48,836,511.60/3,186.38
  6. Step 6: Final answer
    x = 15,326.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.