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Finding the Third Proportional to 16,978 and 36,464

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Solution

The third proportional to 16,978 and 36,464 is: 78,314.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,978 : 36,464 = 36,464 : x
  2. Step 2: Convert to fraction form
    16,978/36,464 = 36,464/x
  3. Step 3: Cross multiply
    16,978x = 36,464 × 36,464
  4. Step 4: Simplify right side
    16,978x = 1,329,623,296
  5. Step 5: Solve for x
    x = 1,329,623,296/16,978
  6. Step 6: Final answer
    x = 78,314.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.