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Finding the Third Proportional to 311,928 and 472,296

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Solution

The third proportional to 311,928 and 472,296 is: 715,112.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,928 : 472,296 = 472,296 : x
  2. Step 2: Convert to fraction form
    311,928/472,296 = 472,296/x
  3. Step 3: Cross multiply
    311,928x = 472,296 × 472,296
  4. Step 4: Simplify right side
    311,928x = 223,063,511,616
  5. Step 5: Solve for x
    x = 223,063,511,616/311,928
  6. Step 6: Final answer
    x = 715,112.18

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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.