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Finding the Third Proportional to 122,843 and 266,422

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Solution

The third proportional to 122,843 and 266,422 is: 577,816.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,843 : 266,422 = 266,422 : x
  2. Step 2: Convert to fraction form
    122,843/266,422 = 266,422/x
  3. Step 3: Cross multiply
    122,843x = 266,422 × 266,422
  4. Step 4: Simplify right side
    122,843x = 70,980,682,084
  5. Step 5: Solve for x
    x = 70,980,682,084/122,843
  6. Step 6: Final answer
    x = 577,816.25

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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.