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Finding the Third Proportional to 208,760 and 454,768

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Solution

The third proportional to 208,760 and 454,768 is: 990,677.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,760 : 454,768 = 454,768 : x
  2. Step 2: Convert to fraction form
    208,760/454,768 = 454,768/x
  3. Step 3: Cross multiply
    208,760x = 454,768 × 454,768
  4. Step 4: Simplify right side
    208,760x = 206,813,933,824
  5. Step 5: Solve for x
    x = 206,813,933,824/208,760
  6. Step 6: Final answer
    x = 990,677.97

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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.