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Finding the Third Proportional to 31,205 and 48,189

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Solution

The third proportional to 31,205 and 48,189 is: 74,416.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,205 : 48,189 = 48,189 : x
  2. Step 2: Convert to fraction form
    31,205/48,189 = 48,189/x
  3. Step 3: Cross multiply
    31,205x = 48,189 × 48,189
  4. Step 4: Simplify right side
    31,205x = 2,322,179,721
  5. Step 5: Solve for x
    x = 2,322,179,721/31,205
  6. Step 6: Final answer
    x = 74,416.91

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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.