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Finding the Third Proportional to 31,968 and 67,307

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Solution

The third proportional to 31,968 and 67,307 is: 141,711.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,968 : 67,307 = 67,307 : x
  2. Step 2: Convert to fraction form
    31,968/67,307 = 67,307/x
  3. Step 3: Cross multiply
    31,968x = 67,307 × 67,307
  4. Step 4: Simplify right side
    31,968x = 4,530,232,249
  5. Step 5: Solve for x
    x = 4,530,232,249/31,968
  6. Step 6: Final answer
    x = 141,711.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.