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Finding the Third Proportional to 8,830 and 18,379

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Solution

The third proportional to 8,830 and 18,379 is: 38,254.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,830 : 18,379 = 18,379 : x
  2. Step 2: Convert to fraction form
    8,830/18,379 = 18,379/x
  3. Step 3: Cross multiply
    8,830x = 18,379 × 18,379
  4. Step 4: Simplify right side
    8,830x = 337,787,641
  5. Step 5: Solve for x
    x = 337,787,641/8,830
  6. Step 6: Final answer
    x = 38,254.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.