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Finding the Third Proportional to 50,948 and 78,694

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Solution

The third proportional to 50,948 and 78,694 is: 121,550.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,948 : 78,694 = 78,694 : x
  2. Step 2: Convert to fraction form
    50,948/78,694 = 78,694/x
  3. Step 3: Cross multiply
    50,948x = 78,694 × 78,694
  4. Step 4: Simplify right side
    50,948x = 6,192,745,636
  5. Step 5: Solve for x
    x = 6,192,745,636/50,948
  6. Step 6: Final answer
    x = 121,550.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.