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Finding the Third Proportional to 156,729 and 220,229

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Solution

The third proportional to 156,729 and 220,229 is: 309,456.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,729 : 220,229 = 220,229 : x
  2. Step 2: Convert to fraction form
    156,729/220,229 = 220,229/x
  3. Step 3: Cross multiply
    156,729x = 220,229 × 220,229
  4. Step 4: Simplify right side
    156,729x = 48,500,812,441
  5. Step 5: Solve for x
    x = 48,500,812,441/156,729
  6. Step 6: Final answer
    x = 309,456.53

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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.