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Finding the Third Proportional to 122.78 and 266.88

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Solution

The third proportional to 122.78 and 266.88 is: 580.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.78 : 266.88 = 266.88 : x
  2. Step 2: Convert to fraction form
    122.78/266.88 = 266.88/x
  3. Step 3: Cross multiply
    122.78x = 266.88 × 266.88
  4. Step 4: Simplify right side
    122.78x = 71,222.27
  5. Step 5: Solve for x
    x = 71,222.27/122.78
  6. Step 6: Final answer
    x = 580.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.