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Finding the Third Proportional to 10,811.75 and 23,290

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Solution

The third proportional to 10,811.75 and 23,290 is: 50,169.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,811.75 : 23,290 = 23,290 : x
  2. Step 2: Convert to fraction form
    10,811.75/23,290 = 23,290/x
  3. Step 3: Cross multiply
    10,811.75x = 23,290 × 23,290
  4. Step 4: Simplify right side
    10,811.75x = 542,424,100
  5. Step 5: Solve for x
    x = 542,424,100/10,811.75
  6. Step 6: Final answer
    x = 50,169.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.