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Finding the Third Proportional to 16,980 and 36,558

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Solution

The third proportional to 16,980 and 36,558 is: 78,709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,980 : 36,558 = 36,558 : x
  2. Step 2: Convert to fraction form
    16,980/36,558 = 36,558/x
  3. Step 3: Cross multiply
    16,980x = 36,558 × 36,558
  4. Step 4: Simplify right side
    16,980x = 1,336,487,364
  5. Step 5: Solve for x
    x = 1,336,487,364/16,980
  6. Step 6: Final answer
    x = 78,709.50

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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.