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Finding the Third Proportional to 47,631 and 71,879

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Solution

The third proportional to 47,631 and 71,879 is: 108,471.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,631 : 71,879 = 71,879 : x
  2. Step 2: Convert to fraction form
    47,631/71,879 = 71,879/x
  3. Step 3: Cross multiply
    47,631x = 71,879 × 71,879
  4. Step 4: Simplify right side
    47,631x = 5,166,590,641
  5. Step 5: Solve for x
    x = 5,166,590,641/47,631
  6. Step 6: Final answer
    x = 108,471.18

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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.