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Finding the Third Proportional to 3,430.69 and 5,286.09

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Solution

The third proportional to 3,430.69 and 5,286.09 is: 8,144.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.69 : 5,286.09 = 5,286.09 : x
  2. Step 2: Convert to fraction form
    3,430.69/5,286.09 = 5,286.09/x
  3. Step 3: Cross multiply
    3,430.69x = 5,286.09 × 5,286.09
  4. Step 4: Simplify right side
    3,430.69x = 27,942,787.13
  5. Step 5: Solve for x
    x = 27,942,787.13/3,430.69
  6. Step 6: Final answer
    x = 8,144.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.