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Finding the Third Proportional to 19,682 and 31,299

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Solution

The third proportional to 19,682 and 31,299 is: 49,772.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,682 : 31,299 = 31,299 : x
  2. Step 2: Convert to fraction form
    19,682/31,299 = 31,299/x
  3. Step 3: Cross multiply
    19,682x = 31,299 × 31,299
  4. Step 4: Simplify right side
    19,682x = 979,627,401
  5. Step 5: Solve for x
    x = 979,627,401/19,682
  6. Step 6: Final answer
    x = 49,772.76

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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.