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Finding the Third Proportional to 20,277 and 30,300.75

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Solution

The third proportional to 20,277 and 30,300.75 is: 45,279.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,277 : 30,300.75 = 30,300.75 : x
  2. Step 2: Convert to fraction form
    20,277/30,300.75 = 30,300.75/x
  3. Step 3: Cross multiply
    20,277x = 30,300.75 × 30,300.75
  4. Step 4: Simplify right side
    20,277x = 918,135,450.56
  5. Step 5: Solve for x
    x = 918,135,450.56/20,277
  6. Step 6: Final answer
    x = 45,279.65

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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.