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Finding the Third Proportional to 50,122 and 108,308

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Solution

The third proportional to 50,122 and 108,308 is: 234,041.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,122 : 108,308 = 108,308 : x
  2. Step 2: Convert to fraction form
    50,122/108,308 = 108,308/x
  3. Step 3: Cross multiply
    50,122x = 108,308 × 108,308
  4. Step 4: Simplify right side
    50,122x = 11,730,622,864
  5. Step 5: Solve for x
    x = 11,730,622,864/50,122
  6. Step 6: Final answer
    x = 234,041.40

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.