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Finding the Third Proportional to 209,744 and 454,479

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Solution

The third proportional to 209,744 and 454,479 is: 984,777.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,744 : 454,479 = 454,479 : x
  2. Step 2: Convert to fraction form
    209,744/454,479 = 454,479/x
  3. Step 3: Cross multiply
    209,744x = 454,479 × 454,479
  4. Step 4: Simplify right side
    209,744x = 206,551,161,441
  5. Step 5: Solve for x
    x = 206,551,161,441/209,744
  6. Step 6: Final answer
    x = 984,777.45

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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.