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Finding the Third Proportional to 202,802 and 303,894.75

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Solution

The third proportional to 202,802 and 303,894.75 is: 455,380.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,802 : 303,894.75 = 303,894.75 : x
  2. Step 2: Convert to fraction form
    202,802/303,894.75 = 303,894.75/x
  3. Step 3: Cross multiply
    202,802x = 303,894.75 × 303,894.75
  4. Step 4: Simplify right side
    202,802x = 92,352,019,077.56
  5. Step 5: Solve for x
    x = 92,352,019,077.56/202,802
  6. Step 6: Final answer
    x = 455,380.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.