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Finding the Third Proportional to 311,906 and 455,223

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Solution

The third proportional to 311,906 and 455,223 is: 664,392.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,906 : 455,223 = 455,223 : x
  2. Step 2: Convert to fraction form
    311,906/455,223 = 455,223/x
  3. Step 3: Cross multiply
    311,906x = 455,223 × 455,223
  4. Step 4: Simplify right side
    311,906x = 207,227,979,729
  5. Step 5: Solve for x
    x = 207,227,979,729/311,906
  6. Step 6: Final answer
    x = 664,392.41

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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.