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Finding the Third Proportional to 31,497 and 68,529

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Solution

The third proportional to 31,497 and 68,529 is: 149,100.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,497 : 68,529 = 68,529 : x
  2. Step 2: Convert to fraction form
    31,497/68,529 = 68,529/x
  3. Step 3: Cross multiply
    31,497x = 68,529 × 68,529
  4. Step 4: Simplify right side
    31,497x = 4,696,223,841
  5. Step 5: Solve for x
    x = 4,696,223,841/31,497
  6. Step 6: Final answer
    x = 149,100.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.