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Finding the Third Proportional to 18,163 and 37,987

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Solution

The third proportional to 18,163 and 37,987 is: 79,447.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,163 : 37,987 = 37,987 : x
  2. Step 2: Convert to fraction form
    18,163/37,987 = 37,987/x
  3. Step 3: Cross multiply
    18,163x = 37,987 × 37,987
  4. Step 4: Simplify right side
    18,163x = 1,443,012,169
  5. Step 5: Solve for x
    x = 1,443,012,169/18,163
  6. Step 6: Final answer
    x = 79,447.90

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.