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Finding the Third Proportional to 122,115 and 266,622

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Solution

The third proportional to 122,115 and 266,622 is: 582,133.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,115 : 266,622 = 266,622 : x
  2. Step 2: Convert to fraction form
    122,115/266,622 = 266,622/x
  3. Step 3: Cross multiply
    122,115x = 266,622 × 266,622
  4. Step 4: Simplify right side
    122,115x = 71,087,290,884
  5. Step 5: Solve for x
    x = 71,087,290,884/122,115
  6. Step 6: Final answer
    x = 582,133.98

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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.