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Finding the Third Proportional to 209,412 and 454,512

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Solution

The third proportional to 209,412 and 454,512 is: 986,481.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,412 : 454,512 = 454,512 : x
  2. Step 2: Convert to fraction form
    209,412/454,512 = 454,512/x
  3. Step 3: Cross multiply
    209,412x = 454,512 × 454,512
  4. Step 4: Simplify right side
    209,412x = 206,581,158,144
  5. Step 5: Solve for x
    x = 206,581,158,144/209,412
  6. Step 6: Final answer
    x = 986,481.95

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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.