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Finding the Third Proportional to 8,302 and 17,987

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Solution

The third proportional to 8,302 and 17,987 is: 38,970.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302 : 17,987 = 17,987 : x
  2. Step 2: Convert to fraction form
    8,302/17,987 = 17,987/x
  3. Step 3: Cross multiply
    8,302x = 17,987 × 17,987
  4. Step 4: Simplify right side
    8,302x = 323,532,169
  5. Step 5: Solve for x
    x = 323,532,169/8,302
  6. Step 6: Final answer
    x = 38,970.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.