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Finding the Third Proportional to 220,806 and 343,845

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Solution

The third proportional to 220,806 and 343,845 is: 535,444.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,806 : 343,845 = 343,845 : x
  2. Step 2: Convert to fraction form
    220,806/343,845 = 343,845/x
  3. Step 3: Cross multiply
    220,806x = 343,845 × 343,845
  4. Step 4: Simplify right side
    220,806x = 118,229,384,025
  5. Step 5: Solve for x
    x = 118,229,384,025/220,806
  6. Step 6: Final answer
    x = 535,444.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.