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Finding the Third Proportional to 72,011 and 168,234

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Solution

The third proportional to 72,011 and 168,234 is: 393,032.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,011 : 168,234 = 168,234 : x
  2. Step 2: Convert to fraction form
    72,011/168,234 = 168,234/x
  3. Step 3: Cross multiply
    72,011x = 168,234 × 168,234
  4. Step 4: Simplify right side
    72,011x = 28,302,678,756
  5. Step 5: Solve for x
    x = 28,302,678,756/72,011
  6. Step 6: Final answer
    x = 393,032.71

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.