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Finding the Third Proportional to 50,908 and 76,458

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Solution

The third proportional to 50,908 and 76,458 is: 114,831.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,908 : 76,458 = 76,458 : x
  2. Step 2: Convert to fraction form
    50,908/76,458 = 76,458/x
  3. Step 3: Cross multiply
    50,908x = 76,458 × 76,458
  4. Step 4: Simplify right side
    50,908x = 5,845,825,764
  5. Step 5: Solve for x
    x = 5,845,825,764/50,908
  6. Step 6: Final answer
    x = 114,831.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.