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Finding the Third Proportional to 202,761 and 418,374

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Solution

The third proportional to 202,761 and 418,374 is: 863,266.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,761 : 418,374 = 418,374 : x
  2. Step 2: Convert to fraction form
    202,761/418,374 = 418,374/x
  3. Step 3: Cross multiply
    202,761x = 418,374 × 418,374
  4. Step 4: Simplify right side
    202,761x = 175,036,803,876
  5. Step 5: Solve for x
    x = 175,036,803,876/202,761
  6. Step 6: Final answer
    x = 863,266.62

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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.