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Finding the Third Proportional to 8,687 and 20,313

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Solution

The third proportional to 8,687 and 20,313 is: 47,498.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,687 : 20,313 = 20,313 : x
  2. Step 2: Convert to fraction form
    8,687/20,313 = 20,313/x
  3. Step 3: Cross multiply
    8,687x = 20,313 × 20,313
  4. Step 4: Simplify right side
    8,687x = 412,617,969
  5. Step 5: Solve for x
    x = 412,617,969/8,687
  6. Step 6: Final answer
    x = 47,498.33

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.