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Finding the Third Proportional to 15,987 and 33,658

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Solution

The third proportional to 15,987 and 33,658 is: 70,861.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,987 : 33,658 = 33,658 : x
  2. Step 2: Convert to fraction form
    15,987/33,658 = 33,658/x
  3. Step 3: Cross multiply
    15,987x = 33,658 × 33,658
  4. Step 4: Simplify right side
    15,987x = 1,132,860,964
  5. Step 5: Solve for x
    x = 1,132,860,964/15,987
  6. Step 6: Final answer
    x = 70,861.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.