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Finding the Third Proportional to 122,121 and 266,274

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Solution

The third proportional to 122,121 and 266,274 is: 580,586.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,121 : 266,274 = 266,274 : x
  2. Step 2: Convert to fraction form
    122,121/266,274 = 266,274/x
  3. Step 3: Cross multiply
    122,121x = 266,274 × 266,274
  4. Step 4: Simplify right side
    122,121x = 70,901,843,076
  5. Step 5: Solve for x
    x = 70,901,843,076/122,121
  6. Step 6: Final answer
    x = 580,586.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.