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Finding the Third Proportional to 156.09 and 227.39

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Solution

The third proportional to 156.09 and 227.39 is: 331.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.09 : 227.39 = 227.39 : x
  2. Step 2: Convert to fraction form
    156.09/227.39 = 227.39/x
  3. Step 3: Cross multiply
    156.09x = 227.39 × 227.39
  4. Step 4: Simplify right side
    156.09x = 51,706.50
  5. Step 5: Solve for x
    x = 51,706.50/156.09
  6. Step 6: Final answer
    x = 331.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.