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Finding the Third Proportional to 76,009 and 161,861

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Solution

The third proportional to 76,009 and 161,861 is: 344,682.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,009 : 161,861 = 161,861 : x
  2. Step 2: Convert to fraction form
    76,009/161,861 = 161,861/x
  3. Step 3: Cross multiply
    76,009x = 161,861 × 161,861
  4. Step 4: Simplify right side
    76,009x = 26,198,983,321
  5. Step 5: Solve for x
    x = 26,198,983,321/76,009
  6. Step 6: Final answer
    x = 344,682.65

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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.