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Finding the Third Proportional to 3,246.33 and 7,154.74

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Solution

The third proportional to 3,246.33 and 7,154.74 is: 15,768.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246.33 : 7,154.74 = 7,154.74 : x
  2. Step 2: Convert to fraction form
    3,246.33/7,154.74 = 7,154.74/x
  3. Step 3: Cross multiply
    3,246.33x = 7,154.74 × 7,154.74
  4. Step 4: Simplify right side
    3,246.33x = 51,190,251.92
  5. Step 5: Solve for x
    x = 51,190,251.92/3,246.33
  6. Step 6: Final answer
    x = 15,768.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.