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Finding the Third Proportional to 209,602 and 454,651

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Solution

The third proportional to 209,602 and 454,651 is: 986,190.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,602 : 454,651 = 454,651 : x
  2. Step 2: Convert to fraction form
    209,602/454,651 = 454,651/x
  3. Step 3: Cross multiply
    209,602x = 454,651 × 454,651
  4. Step 4: Simplify right side
    209,602x = 206,707,531,801
  5. Step 5: Solve for x
    x = 206,707,531,801/209,602
  6. Step 6: Final answer
    x = 986,190.65

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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.