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Finding the Third Proportional to 3,132.84 and 6,672.09

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Solution

The third proportional to 3,132.84 and 6,672.09 is: 14,209.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.84 : 6,672.09 = 6,672.09 : x
  2. Step 2: Convert to fraction form
    3,132.84/6,672.09 = 6,672.09/x
  3. Step 3: Cross multiply
    3,132.84x = 6,672.09 × 6,672.09
  4. Step 4: Simplify right side
    3,132.84x = 44,516,835.01
  5. Step 5: Solve for x
    x = 44,516,835.01/3,132.84
  6. Step 6: Final answer
    x = 14,209.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.