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Finding the Third Proportional to 12,215.25 and 18,240.75

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Solution

The third proportional to 12,215.25 and 18,240.75 is: 27,238.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,215.25 : 18,240.75 = 18,240.75 : x
  2. Step 2: Convert to fraction form
    12,215.25/18,240.75 = 18,240.75/x
  3. Step 3: Cross multiply
    12,215.25x = 18,240.75 × 18,240.75
  4. Step 4: Simplify right side
    12,215.25x = 332,724,960.56
  5. Step 5: Solve for x
    x = 332,724,960.56/12,215.25
  6. Step 6: Final answer
    x = 27,238.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.