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Finding the Third Proportional to 209,743 and 454,478

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Solution

The third proportional to 209,743 and 454,478 is: 984,777.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,743 : 454,478 = 454,478 : x
  2. Step 2: Convert to fraction form
    209,743/454,478 = 454,478/x
  3. Step 3: Cross multiply
    209,743x = 454,478 × 454,478
  4. Step 4: Simplify right side
    209,743x = 206,550,252,484
  5. Step 5: Solve for x
    x = 206,550,252,484/209,743
  6. Step 6: Final answer
    x = 984,777.81

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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.