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Finding the Third Proportional to 221,684 and 343,962

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Solution

The third proportional to 221,684 and 343,962 is: 533,686.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,684 : 343,962 = 343,962 : x
  2. Step 2: Convert to fraction form
    221,684/343,962 = 343,962/x
  3. Step 3: Cross multiply
    221,684x = 343,962 × 343,962
  4. Step 4: Simplify right side
    221,684x = 118,309,857,444
  5. Step 5: Solve for x
    x = 118,309,857,444/221,684
  6. Step 6: Final answer
    x = 533,686.95

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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.