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Finding the Third Proportional to 122.93 and 266.11

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Solution

The third proportional to 122.93 and 266.11 is: 576.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.93 : 266.11 = 266.11 : x
  2. Step 2: Convert to fraction form
    122.93/266.11 = 266.11/x
  3. Step 3: Cross multiply
    122.93x = 266.11 × 266.11
  4. Step 4: Simplify right side
    122.93x = 70,814.20
  5. Step 5: Solve for x
    x = 70,814.20/122.93
  6. Step 6: Final answer
    x = 576.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.