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Finding the Third Proportional to 7,931 and 17,987

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Solution

The third proportional to 7,931 and 17,987 is: 40,793.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,931 : 17,987 = 17,987 : x
  2. Step 2: Convert to fraction form
    7,931/17,987 = 17,987/x
  3. Step 3: Cross multiply
    7,931x = 17,987 × 17,987
  4. Step 4: Simplify right side
    7,931x = 323,532,169
  5. Step 5: Solve for x
    x = 323,532,169/7,931
  6. Step 6: Final answer
    x = 40,793.36

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.