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Finding the Third Proportional to 201,822 and 428,244

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Solution

The third proportional to 201,822 and 428,244 is: 908,686.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,822 : 428,244 = 428,244 : x
  2. Step 2: Convert to fraction form
    201,822/428,244 = 428,244/x
  3. Step 3: Cross multiply
    201,822x = 428,244 × 428,244
  4. Step 4: Simplify right side
    201,822x = 183,392,923,536
  5. Step 5: Solve for x
    x = 183,392,923,536/201,822
  6. Step 6: Final answer
    x = 908,686.48

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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.