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Finding the Third Proportional to 156,747 and 220,256

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Solution

The third proportional to 156,747 and 220,256 is: 309,496.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,747 : 220,256 = 220,256 : x
  2. Step 2: Convert to fraction form
    156,747/220,256 = 220,256/x
  3. Step 3: Cross multiply
    156,747x = 220,256 × 220,256
  4. Step 4: Simplify right side
    156,747x = 48,512,705,536
  5. Step 5: Solve for x
    x = 48,512,705,536/156,747
  6. Step 6: Final answer
    x = 309,496.87

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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.