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Finding the Third Proportional to 17,987 and 26,796

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Solution

The third proportional to 17,987 and 26,796 is: 39,919.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,987 : 26,796 = 26,796 : x
  2. Step 2: Convert to fraction form
    17,987/26,796 = 26,796/x
  3. Step 3: Cross multiply
    17,987x = 26,796 × 26,796
  4. Step 4: Simplify right side
    17,987x = 718,025,616
  5. Step 5: Solve for x
    x = 718,025,616/17,987
  6. Step 6: Final answer
    x = 39,919.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.