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Finding the Third Proportional to 156,959 and 221,132

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Solution

The third proportional to 156,959 and 221,132 is: 311,542.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,959 : 221,132 = 221,132 : x
  2. Step 2: Convert to fraction form
    156,959/221,132 = 221,132/x
  3. Step 3: Cross multiply
    156,959x = 221,132 × 221,132
  4. Step 4: Simplify right side
    156,959x = 48,899,361,424
  5. Step 5: Solve for x
    x = 48,899,361,424/156,959
  6. Step 6: Final answer
    x = 311,542.26

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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.