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Finding the Third Proportional to 57,138.25 and 123,023.75

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Solution

The third proportional to 57,138.25 and 123,023.75 is: 264,881.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,138.25 : 123,023.75 = 123,023.75 : x
  2. Step 2: Convert to fraction form
    57,138.25/123,023.75 = 123,023.75/x
  3. Step 3: Cross multiply
    57,138.25x = 123,023.75 × 123,023.75
  4. Step 4: Simplify right side
    57,138.25x = 15,134,843,064.06
  5. Step 5: Solve for x
    x = 15,134,843,064.06/57,138.25
  6. Step 6: Final answer
    x = 264,881.11

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Why These Related Problems?

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