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Finding the Third Proportional to 204,649 and 417,620

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Solution

The third proportional to 204,649 and 417,620 is: 852,222.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,649 : 417,620 = 417,620 : x
  2. Step 2: Convert to fraction form
    204,649/417,620 = 417,620/x
  3. Step 3: Cross multiply
    204,649x = 417,620 × 417,620
  4. Step 4: Simplify right side
    204,649x = 174,406,464,400
  5. Step 5: Solve for x
    x = 174,406,464,400/204,649
  6. Step 6: Final answer
    x = 852,222.41

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.