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Finding the Third Proportional to 155,840 and 220,512

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Solution

The third proportional to 155,840 and 220,512 is: 312,022.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,840 : 220,512 = 220,512 : x
  2. Step 2: Convert to fraction form
    155,840/220,512 = 220,512/x
  3. Step 3: Cross multiply
    155,840x = 220,512 × 220,512
  4. Step 4: Simplify right side
    155,840x = 48,625,542,144
  5. Step 5: Solve for x
    x = 48,625,542,144/155,840
  6. Step 6: Final answer
    x = 312,022.22

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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.