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Finding the Third Proportional to 122.94 and 256.38

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Solution

The third proportional to 122.94 and 256.38 is: 534.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.94 : 256.38 = 256.38 : x
  2. Step 2: Convert to fraction form
    122.94/256.38 = 256.38/x
  3. Step 3: Cross multiply
    122.94x = 256.38 × 256.38
  4. Step 4: Simplify right side
    122.94x = 65,728.14
  5. Step 5: Solve for x
    x = 65,728.14/122.94
  6. Step 6: Final answer
    x = 534.65

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.