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Finding the Third Proportional to 2,212.88 and 3,342.38

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Solution

The third proportional to 2,212.88 and 3,342.38 is: 5,048.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.88 : 3,342.38 = 3,342.38 : x
  2. Step 2: Convert to fraction form
    2,212.88/3,342.38 = 3,342.38/x
  3. Step 3: Cross multiply
    2,212.88x = 3,342.38 × 3,342.38
  4. Step 4: Simplify right side
    2,212.88x = 11,171,470.64
  5. Step 5: Solve for x
    x = 11,171,470.64/2,212.88
  6. Step 6: Final answer
    x = 5,048.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.