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Finding the Third Proportional to 15,698 and 36,311

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Solution

The third proportional to 15,698 and 36,311 is: 83,990.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,698 : 36,311 = 36,311 : x
  2. Step 2: Convert to fraction form
    15,698/36,311 = 36,311/x
  3. Step 3: Cross multiply
    15,698x = 36,311 × 36,311
  4. Step 4: Simplify right side
    15,698x = 1,318,488,721
  5. Step 5: Solve for x
    x = 1,318,488,721/15,698
  6. Step 6: Final answer
    x = 83,990.87

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.