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Finding the Third Proportional to 199,062 and 421,452

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Solution

The third proportional to 199,062 and 421,452 is: 892,293.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,062 : 421,452 = 421,452 : x
  2. Step 2: Convert to fraction form
    199,062/421,452 = 421,452/x
  3. Step 3: Cross multiply
    199,062x = 421,452 × 421,452
  4. Step 4: Simplify right side
    199,062x = 177,621,788,304
  5. Step 5: Solve for x
    x = 177,621,788,304/199,062
  6. Step 6: Final answer
    x = 892,293.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.