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Finding the Third Proportional to 156,744 and 220,249

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Solution

The third proportional to 156,744 and 220,249 is: 309,483.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,744 : 220,249 = 220,249 : x
  2. Step 2: Convert to fraction form
    156,744/220,249 = 220,249/x
  3. Step 3: Cross multiply
    156,744x = 220,249 × 220,249
  4. Step 4: Simplify right side
    156,744x = 48,509,622,001
  5. Step 5: Solve for x
    x = 48,509,622,001/156,744
  6. Step 6: Final answer
    x = 309,483.12

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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.