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Finding the Third Proportional to 221,680 and 343,956

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Solution

The third proportional to 221,680 and 343,956 is: 533,677.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,680 : 343,956 = 343,956 : x
  2. Step 2: Convert to fraction form
    221,680/343,956 = 343,956/x
  3. Step 3: Cross multiply
    221,680x = 343,956 × 343,956
  4. Step 4: Simplify right side
    221,680x = 118,305,729,936
  5. Step 5: Solve for x
    x = 118,305,729,936/221,680
  6. Step 6: Final answer
    x = 533,677.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.