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Finding the Third Proportional to 61,538 and 133,876

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Solution

The third proportional to 61,538 and 133,876 is: 291,247.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,538 : 133,876 = 133,876 : x
  2. Step 2: Convert to fraction form
    61,538/133,876 = 133,876/x
  3. Step 3: Cross multiply
    61,538x = 133,876 × 133,876
  4. Step 4: Simplify right side
    61,538x = 17,922,783,376
  5. Step 5: Solve for x
    x = 17,922,783,376/61,538
  6. Step 6: Final answer
    x = 291,247.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.