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Finding the Third Proportional to 311,058 and 454,923

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Solution

The third proportional to 311,058 and 454,923 is: 665,325.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,058 : 454,923 = 454,923 : x
  2. Step 2: Convert to fraction form
    311,058/454,923 = 454,923/x
  3. Step 3: Cross multiply
    311,058x = 454,923 × 454,923
  4. Step 4: Simplify right side
    311,058x = 206,954,935,929
  5. Step 5: Solve for x
    x = 206,954,935,929/311,058
  6. Step 6: Final answer
    x = 665,325.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.