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Finding the Third Proportional to 122,356 and 268,812

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Solution

The third proportional to 122,356 and 268,812 is: 590,570.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,356 : 268,812 = 268,812 : x
  2. Step 2: Convert to fraction form
    122,356/268,812 = 268,812/x
  3. Step 3: Cross multiply
    122,356x = 268,812 × 268,812
  4. Step 4: Simplify right side
    122,356x = 72,259,891,344
  5. Step 5: Solve for x
    x = 72,259,891,344/122,356
  6. Step 6: Final answer
    x = 590,570.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.