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Finding the Third Proportional to 311,921 and 472,286

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Solution

The third proportional to 311,921 and 472,286 is: 715,097.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,921 : 472,286 = 472,286 : x
  2. Step 2: Convert to fraction form
    311,921/472,286 = 472,286/x
  3. Step 3: Cross multiply
    311,921x = 472,286 × 472,286
  4. Step 4: Simplify right side
    311,921x = 223,054,065,796
  5. Step 5: Solve for x
    x = 223,054,065,796/311,921
  6. Step 6: Final answer
    x = 715,097.94

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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.