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Finding the Third Proportional to 197,812 and 428,452

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Solution

The third proportional to 197,812 and 428,452 is: 928,007.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,812 : 428,452 = 428,452 : x
  2. Step 2: Convert to fraction form
    197,812/428,452 = 428,452/x
  3. Step 3: Cross multiply
    197,812x = 428,452 × 428,452
  4. Step 4: Simplify right side
    197,812x = 183,571,116,304
  5. Step 5: Solve for x
    x = 183,571,116,304/197,812
  6. Step 6: Final answer
    x = 928,007.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.