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Finding the Third Proportional to 152.13 and 227.31

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Solution

The third proportional to 152.13 and 227.31 is: 339.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.13 : 227.31 = 227.31 : x
  2. Step 2: Convert to fraction form
    152.13/227.31 = 227.31/x
  3. Step 3: Cross multiply
    152.13x = 227.31 × 227.31
  4. Step 4: Simplify right side
    152.13x = 51,670.97
  5. Step 5: Solve for x
    x = 51,670.97/152.13
  6. Step 6: Final answer
    x = 339.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.