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Finding the Third Proportional to 122.72 and 277.36

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Solution

The third proportional to 122.72 and 277.36 is: 626.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.72 : 277.36 = 277.36 : x
  2. Step 2: Convert to fraction form
    122.72/277.36 = 277.36/x
  3. Step 3: Cross multiply
    122.72x = 277.36 × 277.36
  4. Step 4: Simplify right side
    122.72x = 76,928.22
  5. Step 5: Solve for x
    x = 76,928.22/122.72
  6. Step 6: Final answer
    x = 626.87

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.