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Finding the Third Proportional to 122.37 and 256.76

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Solution

The third proportional to 122.37 and 256.76 is: 538.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.37 : 256.76 = 256.76 : x
  2. Step 2: Convert to fraction form
    122.37/256.76 = 256.76/x
  3. Step 3: Cross multiply
    122.37x = 256.76 × 256.76
  4. Step 4: Simplify right side
    122.37x = 65,924.57
  5. Step 5: Solve for x
    x = 65,924.57/122.37
  6. Step 6: Final answer
    x = 538.74

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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.