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Finding the Third Proportional to 202,776 and 441,228

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Solution

The third proportional to 202,776 and 441,228 is: 960,084.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,776 : 441,228 = 441,228 : x
  2. Step 2: Convert to fraction form
    202,776/441,228 = 441,228/x
  3. Step 3: Cross multiply
    202,776x = 441,228 × 441,228
  4. Step 4: Simplify right side
    202,776x = 194,682,147,984
  5. Step 5: Solve for x
    x = 194,682,147,984/202,776
  6. Step 6: Final answer
    x = 960,084.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.