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Finding the Third Proportional to 31.54 and 46.09

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Solution

The third proportional to 31.54 and 46.09 is: 67.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.54 : 46.09 = 46.09 : x
  2. Step 2: Convert to fraction form
    31.54/46.09 = 46.09/x
  3. Step 3: Cross multiply
    31.54x = 46.09 × 46.09
  4. Step 4: Simplify right side
    31.54x = 2,124.27
  5. Step 5: Solve for x
    x = 2,124.27/31.54
  6. Step 6: Final answer
    x = 67.36

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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.