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Finding the Third Proportional to 15.41 and 30.31

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Solution

The third proportional to 15.41 and 30.31 is: 59.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.41 : 30.31 = 30.31 : x
  2. Step 2: Convert to fraction form
    15.41/30.31 = 30.31/x
  3. Step 3: Cross multiply
    15.41x = 30.31 × 30.31
  4. Step 4: Simplify right side
    15.41x = 918.72
  5. Step 5: Solve for x
    x = 918.72/15.41
  6. Step 6: Final answer
    x = 59.61

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.