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Finding the Third Proportional to 36,305 and 78,172

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Solution

The third proportional to 36,305 and 78,172 is: 168,320.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,305 : 78,172 = 78,172 : x
  2. Step 2: Convert to fraction form
    36,305/78,172 = 78,172/x
  3. Step 3: Cross multiply
    36,305x = 78,172 × 78,172
  4. Step 4: Simplify right side
    36,305x = 6,110,861,584
  5. Step 5: Solve for x
    x = 6,110,861,584/36,305
  6. Step 6: Final answer
    x = 168,320.11

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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.