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Finding the Third Proportional to 78,180 and 168,936

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Solution

The third proportional to 78,180 and 168,936 is: 365,046.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,180 : 168,936 = 168,936 : x
  2. Step 2: Convert to fraction form
    78,180/168,936 = 168,936/x
  3. Step 3: Cross multiply
    78,180x = 168,936 × 168,936
  4. Step 4: Simplify right side
    78,180x = 28,539,372,096
  5. Step 5: Solve for x
    x = 28,539,372,096/78,180
  6. Step 6: Final answer
    x = 365,046.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.