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Finding the Third Proportional to 11,880 and 26,119.50

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Solution

The third proportional to 11,880 and 26,119.50 is: 57,426.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,880 : 26,119.50 = 26,119.50 : x
  2. Step 2: Convert to fraction form
    11,880/26,119.50 = 26,119.50/x
  3. Step 3: Cross multiply
    11,880x = 26,119.50 × 26,119.50
  4. Step 4: Simplify right side
    11,880x = 682,228,280.25
  5. Step 5: Solve for x
    x = 682,228,280.25/11,880
  6. Step 6: Final answer
    x = 57,426.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.