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Finding the Third Proportional to 122.11 and 254.30

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Solution

The third proportional to 122.11 and 254.30 is: 529.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.11 : 254.30 = 254.30 : x
  2. Step 2: Convert to fraction form
    122.11/254.30 = 254.30/x
  3. Step 3: Cross multiply
    122.11x = 254.30 × 254.30
  4. Step 4: Simplify right side
    122.11x = 64,666.90
  5. Step 5: Solve for x
    x = 64,666.90/122.11
  6. Step 6: Final answer
    x = 529.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.