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Finding the Third Proportional to 57,115 and 123,763

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Solution

The third proportional to 57,115 and 123,763 is: 268,183.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,115 : 123,763 = 123,763 : x
  2. Step 2: Convert to fraction form
    57,115/123,763 = 123,763/x
  3. Step 3: Cross multiply
    57,115x = 123,763 × 123,763
  4. Step 4: Simplify right side
    57,115x = 15,317,280,169
  5. Step 5: Solve for x
    x = 15,317,280,169/57,115
  6. Step 6: Final answer
    x = 268,183.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.