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Finding the Third Proportional to 31,234 and 68,294

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Solution

The third proportional to 31,234 and 68,294 is: 149,326.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,234 : 68,294 = 68,294 : x
  2. Step 2: Convert to fraction form
    31,234/68,294 = 68,294/x
  3. Step 3: Cross multiply
    31,234x = 68,294 × 68,294
  4. Step 4: Simplify right side
    31,234x = 4,664,070,436
  5. Step 5: Solve for x
    x = 4,664,070,436/31,234
  6. Step 6: Final answer
    x = 149,326.71

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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.