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Finding the Third Proportional to 208,678 and 454,604

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Solution

The third proportional to 208,678 and 454,604 is: 990,352.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,678 : 454,604 = 454,604 : x
  2. Step 2: Convert to fraction form
    208,678/454,604 = 454,604/x
  3. Step 3: Cross multiply
    208,678x = 454,604 × 454,604
  4. Step 4: Simplify right side
    208,678x = 206,664,796,816
  5. Step 5: Solve for x
    x = 206,664,796,816/208,678
  6. Step 6: Final answer
    x = 990,352.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.