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Finding the Third Proportional to 11,440.50 and 20,982.50

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Solution

The third proportional to 11,440.50 and 20,982.50 is: 38,483.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,440.50 : 20,982.50 = 20,982.50 : x
  2. Step 2: Convert to fraction form
    11,440.50/20,982.50 = 20,982.50/x
  3. Step 3: Cross multiply
    11,440.50x = 20,982.50 × 20,982.50
  4. Step 4: Simplify right side
    11,440.50x = 440,265,306.25
  5. Step 5: Solve for x
    x = 440,265,306.25/11,440.50
  6. Step 6: Final answer
    x = 38,483.05

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.