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Finding the Third Proportional to 20,200.50 and 28,356.75

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Solution

The third proportional to 20,200.50 and 28,356.75 is: 39,806.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,200.50 : 28,356.75 = 28,356.75 : x
  2. Step 2: Convert to fraction form
    20,200.50/28,356.75 = 28,356.75/x
  3. Step 3: Cross multiply
    20,200.50x = 28,356.75 × 28,356.75
  4. Step 4: Simplify right side
    20,200.50x = 804,105,270.56
  5. Step 5: Solve for x
    x = 804,105,270.56/20,200.50
  6. Step 6: Final answer
    x = 39,806.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.