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Finding the Third Proportional to 122.16 and 276.56

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Solution

The third proportional to 122.16 and 276.56 is: 626.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.16 : 276.56 = 276.56 : x
  2. Step 2: Convert to fraction form
    122.16/276.56 = 276.56/x
  3. Step 3: Cross multiply
    122.16x = 276.56 × 276.56
  4. Step 4: Simplify right side
    122.16x = 76,486.82
  5. Step 5: Solve for x
    x = 76,486.82/122.16
  6. Step 6: Final answer
    x = 626.14

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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.