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Finding the Third Proportional to 50,100 and 108,948

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Solution

The third proportional to 50,100 and 108,948 is: 236,919.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,100 : 108,948 = 108,948 : x
  2. Step 2: Convert to fraction form
    50,100/108,948 = 108,948/x
  3. Step 3: Cross multiply
    50,100x = 108,948 × 108,948
  4. Step 4: Simplify right side
    50,100x = 11,869,666,704
  5. Step 5: Solve for x
    x = 11,869,666,704/50,100
  6. Step 6: Final answer
    x = 236,919.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.