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Finding the Third Proportional to 50,910 and 109,656

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Solution

The third proportional to 50,910 and 109,656 is: 236,190.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,910 : 109,656 = 109,656 : x
  2. Step 2: Convert to fraction form
    50,910/109,656 = 109,656/x
  3. Step 3: Cross multiply
    50,910x = 109,656 × 109,656
  4. Step 4: Simplify right side
    50,910x = 12,024,438,336
  5. Step 5: Solve for x
    x = 12,024,438,336/50,910
  6. Step 6: Final answer
    x = 236,190.11

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.