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Finding the Third Proportional to 50,196 and 73,909

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Solution

The third proportional to 50,196 and 73,909 is: 108,824.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,196 : 73,909 = 73,909 : x
  2. Step 2: Convert to fraction form
    50,196/73,909 = 73,909/x
  3. Step 3: Cross multiply
    50,196x = 73,909 × 73,909
  4. Step 4: Simplify right side
    50,196x = 5,462,540,281
  5. Step 5: Solve for x
    x = 5,462,540,281/50,196
  6. Step 6: Final answer
    x = 108,824.21

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.