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Finding the Third Proportional to 15,366 and 31,698

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Solution

The third proportional to 15,366 and 31,698 is: 65,388.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,366 : 31,698 = 31,698 : x
  2. Step 2: Convert to fraction form
    15,366/31,698 = 31,698/x
  3. Step 3: Cross multiply
    15,366x = 31,698 × 31,698
  4. Step 4: Simplify right side
    15,366x = 1,004,763,204
  5. Step 5: Solve for x
    x = 1,004,763,204/15,366
  6. Step 6: Final answer
    x = 65,388.73

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.