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Finding the Third Proportional to 156,721 and 220,216

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Solution

The third proportional to 156,721 and 220,216 is: 309,435.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,721 : 220,216 = 220,216 : x
  2. Step 2: Convert to fraction form
    156,721/220,216 = 220,216/x
  3. Step 3: Cross multiply
    156,721x = 220,216 × 220,216
  4. Step 4: Simplify right side
    156,721x = 48,495,086,656
  5. Step 5: Solve for x
    x = 48,495,086,656/156,721
  6. Step 6: Final answer
    x = 309,435.79

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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.