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Finding the Third Proportional to 203,120 and 303,780

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Solution

The third proportional to 203,120 and 303,780 is: 454,323.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,120 : 303,780 = 303,780 : x
  2. Step 2: Convert to fraction form
    203,120/303,780 = 303,780/x
  3. Step 3: Cross multiply
    203,120x = 303,780 × 303,780
  4. Step 4: Simplify right side
    203,120x = 92,282,288,400
  5. Step 5: Solve for x
    x = 92,282,288,400/203,120
  6. Step 6: Final answer
    x = 454,323.99

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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.