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Finding the Third Proportional to 202,774 and 418,399

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Solution

The third proportional to 202,774 and 418,399 is: 863,314.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,774 : 418,399 = 418,399 : x
  2. Step 2: Convert to fraction form
    202,774/418,399 = 418,399/x
  3. Step 3: Cross multiply
    202,774x = 418,399 × 418,399
  4. Step 4: Simplify right side
    202,774x = 175,057,723,201
  5. Step 5: Solve for x
    x = 175,057,723,201/202,774
  6. Step 6: Final answer
    x = 863,314.44

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.