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Finding the Third Proportional to 208,827 and 454,913

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Solution

The third proportional to 208,827 and 454,913 is: 990,991.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,827 : 454,913 = 454,913 : x
  2. Step 2: Convert to fraction form
    208,827/454,913 = 454,913/x
  3. Step 3: Cross multiply
    208,827x = 454,913 × 454,913
  4. Step 4: Simplify right side
    208,827x = 206,945,837,569
  5. Step 5: Solve for x
    x = 206,945,837,569/208,827
  6. Step 6: Final answer
    x = 990,991.77

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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.