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Finding the Third Proportional to 8,978 and 18,403

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Solution

The third proportional to 8,978 and 18,403 is: 37,722.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,978 : 18,403 = 18,403 : x
  2. Step 2: Convert to fraction form
    8,978/18,403 = 18,403/x
  3. Step 3: Cross multiply
    8,978x = 18,403 × 18,403
  4. Step 4: Simplify right side
    8,978x = 338,670,409
  5. Step 5: Solve for x
    x = 338,670,409/8,978
  6. Step 6: Final answer
    x = 37,722.26

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.