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Finding the Third Proportional to 31.22 and 48.09

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Solution

The third proportional to 31.22 and 48.09 is: 74.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.22 : 48.09 = 48.09 : x
  2. Step 2: Convert to fraction form
    31.22/48.09 = 48.09/x
  3. Step 3: Cross multiply
    31.22x = 48.09 × 48.09
  4. Step 4: Simplify right side
    31.22x = 2,313.01
  5. Step 5: Solve for x
    x = 2,313.01/31.22
  6. Step 6: Final answer
    x = 74.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.