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Finding the Third Proportional to 122,013 and 259,578

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Solution

The third proportional to 122,013 and 259,578 is: 552,242.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,013 : 259,578 = 259,578 : x
  2. Step 2: Convert to fraction form
    122,013/259,578 = 259,578/x
  3. Step 3: Cross multiply
    122,013x = 259,578 × 259,578
  4. Step 4: Simplify right side
    122,013x = 67,380,738,084
  5. Step 5: Solve for x
    x = 67,380,738,084/122,013
  6. Step 6: Final answer
    x = 552,242.29

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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.