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Finding the Third Proportional to 3,270.80 and 7,098.89

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Solution

The third proportional to 3,270.80 and 7,098.89 is: 15,407.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.80 : 7,098.89 = 7,098.89 : x
  2. Step 2: Convert to fraction form
    3,270.80/7,098.89 = 7,098.89/x
  3. Step 3: Cross multiply
    3,270.80x = 7,098.89 × 7,098.89
  4. Step 4: Simplify right side
    3,270.80x = 50,394,248.11
  5. Step 5: Solve for x
    x = 50,394,248.11/3,270.80
  6. Step 6: Final answer
    x = 15,407.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.