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Finding the Third Proportional to 122.81 and 257.44

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Solution

The third proportional to 122.81 and 257.44 is: 539.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.81 : 257.44 = 257.44 : x
  2. Step 2: Convert to fraction form
    122.81/257.44 = 257.44/x
  3. Step 3: Cross multiply
    122.81x = 257.44 × 257.44
  4. Step 4: Simplify right side
    122.81x = 66,274.07
  5. Step 5: Solve for x
    x = 66,274.07/122.81
  6. Step 6: Final answer
    x = 539.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.