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Finding the Third Proportional to 208,821 and 454,902

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Solution

The third proportional to 208,821 and 454,902 is: 990,972.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,821 : 454,902 = 454,902 : x
  2. Step 2: Convert to fraction form
    208,821/454,902 = 454,902/x
  3. Step 3: Cross multiply
    208,821x = 454,902 × 454,902
  4. Step 4: Simplify right side
    208,821x = 206,935,829,604
  5. Step 5: Solve for x
    x = 206,935,829,604/208,821
  6. Step 6: Final answer
    x = 990,972.31

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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.