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Finding the Third Proportional to 3,246.40 and 7,011.84

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Solution

The third proportional to 3,246.40 and 7,011.84 is: 15,144.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246.40 : 7,011.84 = 7,011.84 : x
  2. Step 2: Convert to fraction form
    3,246.40/7,011.84 = 7,011.84/x
  3. Step 3: Cross multiply
    3,246.40x = 7,011.84 × 7,011.84
  4. Step 4: Simplify right side
    3,246.40x = 49,165,952.77
  5. Step 5: Solve for x
    x = 49,165,952.77/3,246.40
  6. Step 6: Final answer
    x = 15,144.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.