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Finding the Third Proportional to 311,956 and 495,879

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Solution

The third proportional to 311,956 and 495,879 is: 788,239.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,956 : 495,879 = 495,879 : x
  2. Step 2: Convert to fraction form
    311,956/495,879 = 495,879/x
  3. Step 3: Cross multiply
    311,956x = 495,879 × 495,879
  4. Step 4: Simplify right side
    311,956x = 245,895,982,641
  5. Step 5: Solve for x
    x = 245,895,982,641/311,956
  6. Step 6: Final answer
    x = 788,239.31

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.