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Finding the Third Proportional to 156,976 and 322,221

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Solution

The third proportional to 156,976 and 322,221 is: 661,415.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,976 : 322,221 = 322,221 : x
  2. Step 2: Convert to fraction form
    156,976/322,221 = 322,221/x
  3. Step 3: Cross multiply
    156,976x = 322,221 × 322,221
  4. Step 4: Simplify right side
    156,976x = 103,826,372,841
  5. Step 5: Solve for x
    x = 103,826,372,841/156,976
  6. Step 6: Final answer
    x = 661,415.58

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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.