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Finding the Third Proportional to 78,411 and 166,936

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Solution

The third proportional to 78,411 and 166,936 is: 355,404.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,411 : 166,936 = 166,936 : x
  2. Step 2: Convert to fraction form
    78,411/166,936 = 166,936/x
  3. Step 3: Cross multiply
    78,411x = 166,936 × 166,936
  4. Step 4: Simplify right side
    78,411x = 27,867,628,096
  5. Step 5: Solve for x
    x = 27,867,628,096/78,411
  6. Step 6: Final answer
    x = 355,404.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.