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Finding the Third Proportional to 202,762 and 418,375

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Solution

The third proportional to 202,762 and 418,375 is: 863,266.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,762 : 418,375 = 418,375 : x
  2. Step 2: Convert to fraction form
    202,762/418,375 = 418,375/x
  3. Step 3: Cross multiply
    202,762x = 418,375 × 418,375
  4. Step 4: Simplify right side
    202,762x = 175,037,640,625
  5. Step 5: Solve for x
    x = 175,037,640,625/202,762
  6. Step 6: Final answer
    x = 863,266.49

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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.