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Finding the Third Proportional to 206,909 and 443,335

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Solution

The third proportional to 206,909 and 443,335 is: 949,914.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,909 : 443,335 = 443,335 : x
  2. Step 2: Convert to fraction form
    206,909/443,335 = 443,335/x
  3. Step 3: Cross multiply
    206,909x = 443,335 × 443,335
  4. Step 4: Simplify right side
    206,909x = 196,545,922,225
  5. Step 5: Solve for x
    x = 196,545,922,225/206,909
  6. Step 6: Final answer
    x = 949,914.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.