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Finding the Third Proportional to 122.69 and 256.34

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Solution

The third proportional to 122.69 and 256.34 is: 535.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.69 : 256.34 = 256.34 : x
  2. Step 2: Convert to fraction form
    122.69/256.34 = 256.34/x
  3. Step 3: Cross multiply
    122.69x = 256.34 × 256.34
  4. Step 4: Simplify right side
    122.69x = 65,712.12
  5. Step 5: Solve for x
    x = 65,712.12/122.69
  6. Step 6: Final answer
    x = 535.61

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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.