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Finding the Third Proportional to 207,777 and 454,965

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Solution

The third proportional to 207,777 and 454,965 is: 996,227.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,777 : 454,965 = 454,965 : x
  2. Step 2: Convert to fraction form
    207,777/454,965 = 454,965/x
  3. Step 3: Cross multiply
    207,777x = 454,965 × 454,965
  4. Step 4: Simplify right side
    207,777x = 206,993,151,225
  5. Step 5: Solve for x
    x = 206,993,151,225/207,777
  6. Step 6: Final answer
    x = 996,227.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.