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Finding the Third Proportional to 156,966 and 322,201

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Solution

The third proportional to 156,966 and 322,201 is: 661,375.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,966 : 322,201 = 322,201 : x
  2. Step 2: Convert to fraction form
    156,966/322,201 = 322,201/x
  3. Step 3: Cross multiply
    156,966x = 322,201 × 322,201
  4. Step 4: Simplify right side
    156,966x = 103,813,484,401
  5. Step 5: Solve for x
    x = 103,813,484,401/156,966
  6. Step 6: Final answer
    x = 661,375.61

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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.