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Finding the Third Proportional to 122.91 and 268.59

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Solution

The third proportional to 122.91 and 268.59 is: 586.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.91 : 268.59 = 268.59 : x
  2. Step 2: Convert to fraction form
    122.91/268.59 = 268.59/x
  3. Step 3: Cross multiply
    122.91x = 268.59 × 268.59
  4. Step 4: Simplify right side
    122.91x = 72,142.60
  5. Step 5: Solve for x
    x = 72,142.60/122.91
  6. Step 6: Final answer
    x = 586.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.