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Finding the Third Proportional to 122,153 and 268,822

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Solution

The third proportional to 122,153 and 268,822 is: 591,596.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,153 : 268,822 = 268,822 : x
  2. Step 2: Convert to fraction form
    122,153/268,822 = 268,822/x
  3. Step 3: Cross multiply
    122,153x = 268,822 × 268,822
  4. Step 4: Simplify right side
    122,153x = 72,265,267,684
  5. Step 5: Solve for x
    x = 72,265,267,684/122,153
  6. Step 6: Final answer
    x = 591,596.34

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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.