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Finding the Third Proportional to 313,229 and 474,218

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Solution

The third proportional to 313,229 and 474,218 is: 717,949.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,229 : 474,218 = 474,218 : x
  2. Step 2: Convert to fraction form
    313,229/474,218 = 474,218/x
  3. Step 3: Cross multiply
    313,229x = 474,218 × 474,218
  4. Step 4: Simplify right side
    313,229x = 224,882,711,524
  5. Step 5: Solve for x
    x = 224,882,711,524/313,229
  6. Step 6: Final answer
    x = 717,949.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.