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Finding the Third Proportional to 202,980 and 440,538

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Solution

The third proportional to 202,980 and 440,538 is: 956,122.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,980 : 440,538 = 440,538 : x
  2. Step 2: Convert to fraction form
    202,980/440,538 = 440,538/x
  3. Step 3: Cross multiply
    202,980x = 440,538 × 440,538
  4. Step 4: Simplify right side
    202,980x = 194,073,729,444
  5. Step 5: Solve for x
    x = 194,073,729,444/202,980
  6. Step 6: Final answer
    x = 956,122.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.