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Finding the Third Proportional to 122,151 and 268,818

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Solution

The third proportional to 122,151 and 268,818 is: 591,588.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,151 : 268,818 = 268,818 : x
  2. Step 2: Convert to fraction form
    122,151/268,818 = 268,818/x
  3. Step 3: Cross multiply
    122,151x = 268,818 × 268,818
  4. Step 4: Simplify right side
    122,151x = 72,263,117,124
  5. Step 5: Solve for x
    x = 72,263,117,124/122,151
  6. Step 6: Final answer
    x = 591,588.42

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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.