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Finding the Third Proportional to 31,202 and 68,234

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Solution

The third proportional to 31,202 and 68,234 is: 149,217.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,202 : 68,234 = 68,234 : x
  2. Step 2: Convert to fraction form
    31,202/68,234 = 68,234/x
  3. Step 3: Cross multiply
    31,202x = 68,234 × 68,234
  4. Step 4: Simplify right side
    31,202x = 4,655,878,756
  5. Step 5: Solve for x
    x = 4,655,878,756/31,202
  6. Step 6: Final answer
    x = 149,217.32

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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.