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Finding the Third Proportional to 31,138 and 49,571

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Solution

The third proportional to 31,138 and 49,571 is: 78,915.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,138 : 49,571 = 49,571 : x
  2. Step 2: Convert to fraction form
    31,138/49,571 = 49,571/x
  3. Step 3: Cross multiply
    31,138x = 49,571 × 49,571
  4. Step 4: Simplify right side
    31,138x = 2,457,284,041
  5. Step 5: Solve for x
    x = 2,457,284,041/31,138
  6. Step 6: Final answer
    x = 78,915.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.