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Finding the Third Proportional to 122.45 and 266.73

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Solution

The third proportional to 122.45 and 266.73 is: 581.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.45 : 266.73 = 266.73 : x
  2. Step 2: Convert to fraction form
    122.45/266.73 = 266.73/x
  3. Step 3: Cross multiply
    122.45x = 266.73 × 266.73
  4. Step 4: Simplify right side
    122.45x = 71,145.14
  5. Step 5: Solve for x
    x = 71,145.14/122.45
  6. Step 6: Final answer
    x = 581.02

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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.