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Finding the Third Proportional to 156,640.50 and 221,589

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Solution

The third proportional to 156,640.50 and 221,589 is: 313,467.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,640.50 : 221,589 = 221,589 : x
  2. Step 2: Convert to fraction form
    156,640.50/221,589 = 221,589/x
  3. Step 3: Cross multiply
    156,640.50x = 221,589 × 221,589
  4. Step 4: Simplify right side
    156,640.50x = 49,101,684,921
  5. Step 5: Solve for x
    x = 49,101,684,921/156,640.50
  6. Step 6: Final answer
    x = 313,467.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.