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Finding the Third Proportional to 202,221 and 303,980

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Solution

The third proportional to 202,221 and 303,980 is: 456,944.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,221 : 303,980 = 303,980 : x
  2. Step 2: Convert to fraction form
    202,221/303,980 = 303,980/x
  3. Step 3: Cross multiply
    202,221x = 303,980 × 303,980
  4. Step 4: Simplify right side
    202,221x = 92,403,840,400
  5. Step 5: Solve for x
    x = 92,403,840,400/202,221
  6. Step 6: Final answer
    x = 456,944.83

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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.