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Finding the Third Proportional to 156,660 and 219,917

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Solution

The third proportional to 156,660 and 219,917 is: 308,716.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,660 : 219,917 = 219,917 : x
  2. Step 2: Convert to fraction form
    156,660/219,917 = 219,917/x
  3. Step 3: Cross multiply
    156,660x = 219,917 × 219,917
  4. Step 4: Simplify right side
    156,660x = 48,363,486,889
  5. Step 5: Solve for x
    x = 48,363,486,889/156,660
  6. Step 6: Final answer
    x = 308,716.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.