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Finding the Third Proportional to 122.88 and 268.63

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Solution

The third proportional to 122.88 and 268.63 is: 587.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.88 : 268.63 = 268.63 : x
  2. Step 2: Convert to fraction form
    122.88/268.63 = 268.63/x
  3. Step 3: Cross multiply
    122.88x = 268.63 × 268.63
  4. Step 4: Simplify right side
    122.88x = 72,159.39
  5. Step 5: Solve for x
    x = 72,159.39/122.88
  6. Step 6: Final answer
    x = 587.26

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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.