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Finding the Third Proportional to 57,511 and 122,474

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Solution

The third proportional to 57,511 and 122,474 is: 260,817.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,511 : 122,474 = 122,474 : x
  2. Step 2: Convert to fraction form
    57,511/122,474 = 122,474/x
  3. Step 3: Cross multiply
    57,511x = 122,474 × 122,474
  4. Step 4: Simplify right side
    57,511x = 14,999,880,676
  5. Step 5: Solve for x
    x = 14,999,880,676/57,511
  6. Step 6: Final answer
    x = 260,817.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.