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Finding the Third Proportional to 3,246.38 and 7,011.94

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Solution

The third proportional to 3,246.38 and 7,011.94 is: 15,145.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246.38 : 7,011.94 = 7,011.94 : x
  2. Step 2: Convert to fraction form
    3,246.38/7,011.94 = 7,011.94/x
  3. Step 3: Cross multiply
    3,246.38x = 7,011.94 × 7,011.94
  4. Step 4: Simplify right side
    3,246.38x = 49,167,267.50
  5. Step 5: Solve for x
    x = 49,167,267.50/3,246.38
  6. Step 6: Final answer
    x = 15,145.28

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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.