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Finding the Third Proportional to 31,174 and 68,348

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Solution

The third proportional to 31,174 and 68,348 is: 149,850.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,174 : 68,348 = 68,348 : x
  2. Step 2: Convert to fraction form
    31,174/68,348 = 68,348/x
  3. Step 3: Cross multiply
    31,174x = 68,348 × 68,348
  4. Step 4: Simplify right side
    31,174x = 4,671,449,104
  5. Step 5: Solve for x
    x = 4,671,449,104/31,174
  6. Step 6: Final answer
    x = 149,850.81

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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.