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Finding the Third Proportional to 31,124 and 68,295

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Solution

The third proportional to 31,124 and 68,295 is: 149,858.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,124 : 68,295 = 68,295 : x
  2. Step 2: Convert to fraction form
    31,124/68,295 = 68,295/x
  3. Step 3: Cross multiply
    31,124x = 68,295 × 68,295
  4. Step 4: Simplify right side
    31,124x = 4,664,207,025
  5. Step 5: Solve for x
    x = 4,664,207,025/31,124
  6. Step 6: Final answer
    x = 149,858.86

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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.