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Finding the Third Proportional to 50,882 and 109,540

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Solution

The third proportional to 50,882 and 109,540 is: 235,820.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,882 : 109,540 = 109,540 : x
  2. Step 2: Convert to fraction form
    50,882/109,540 = 109,540/x
  3. Step 3: Cross multiply
    50,882x = 109,540 × 109,540
  4. Step 4: Simplify right side
    50,882x = 11,999,011,600
  5. Step 5: Solve for x
    x = 11,999,011,600/50,882
  6. Step 6: Final answer
    x = 235,820.36

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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.