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Finding the Third Proportional to 156,960 and 322,189

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Solution

The third proportional to 156,960 and 322,189 is: 661,351.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,960 : 322,189 = 322,189 : x
  2. Step 2: Convert to fraction form
    156,960/322,189 = 322,189/x
  3. Step 3: Cross multiply
    156,960x = 322,189 × 322,189
  4. Step 4: Simplify right side
    156,960x = 103,805,751,721
  5. Step 5: Solve for x
    x = 103,805,751,721/156,960
  6. Step 6: Final answer
    x = 661,351.63

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.