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Finding the Third Proportional to 311,869 and 472,211

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Solution

The third proportional to 311,869 and 472,211 is: 714,990.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,869 : 472,211 = 472,211 : x
  2. Step 2: Convert to fraction form
    311,869/472,211 = 472,211/x
  3. Step 3: Cross multiply
    311,869x = 472,211 × 472,211
  4. Step 4: Simplify right side
    311,869x = 222,983,228,521
  5. Step 5: Solve for x
    x = 222,983,228,521/311,869
  6. Step 6: Final answer
    x = 714,990.04

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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.