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Finding the Third Proportional to 31,198 and 68,228

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Solution

The third proportional to 31,198 and 68,228 is: 149,210.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,198 : 68,228 = 68,228 : x
  2. Step 2: Convert to fraction form
    31,198/68,228 = 68,228/x
  3. Step 3: Cross multiply
    31,198x = 68,228 × 68,228
  4. Step 4: Simplify right side
    31,198x = 4,655,059,984
  5. Step 5: Solve for x
    x = 4,655,059,984/31,198
  6. Step 6: Final answer
    x = 149,210.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.