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Finding the Third Proportional to 3,082.50 and 6,370.88

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Solution

The third proportional to 3,082.50 and 6,370.88 is: 13,167.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.50 : 6,370.88 = 6,370.88 : x
  2. Step 2: Convert to fraction form
    3,082.50/6,370.88 = 6,370.88/x
  3. Step 3: Cross multiply
    3,082.50x = 6,370.88 × 6,370.88
  4. Step 4: Simplify right side
    3,082.50x = 40,588,048.27
  5. Step 5: Solve for x
    x = 40,588,048.27/3,082.50
  6. Step 6: Final answer
    x = 13,167.25

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.