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Finding the Third Proportional to 8,663 and 18,359

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Solution

The third proportional to 8,663 and 18,359 is: 38,907.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,663 : 18,359 = 18,359 : x
  2. Step 2: Convert to fraction form
    8,663/18,359 = 18,359/x
  3. Step 3: Cross multiply
    8,663x = 18,359 × 18,359
  4. Step 4: Simplify right side
    8,663x = 337,052,881
  5. Step 5: Solve for x
    x = 337,052,881/8,663
  6. Step 6: Final answer
    x = 38,907.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.