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Finding the Third Proportional to 3,211.42 and 7,004.92

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Solution

The third proportional to 3,211.42 and 7,004.92 is: 15,279.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.42 : 7,004.92 = 7,004.92 : x
  2. Step 2: Convert to fraction form
    3,211.42/7,004.92 = 7,004.92/x
  3. Step 3: Cross multiply
    3,211.42x = 7,004.92 × 7,004.92
  4. Step 4: Simplify right side
    3,211.42x = 49,068,875.75
  5. Step 5: Solve for x
    x = 49,068,875.75/3,211.42
  6. Step 6: Final answer
    x = 15,279.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.