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Finding the Third Proportional to 206,649 and 438,097.50

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Solution

The third proportional to 206,649 and 438,097.50 is: 928,770.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,649 : 438,097.50 = 438,097.50 : x
  2. Step 2: Convert to fraction form
    206,649/438,097.50 = 438,097.50/x
  3. Step 3: Cross multiply
    206,649x = 438,097.50 × 438,097.50
  4. Step 4: Simplify right side
    206,649x = 191,929,419,506.25
  5. Step 5: Solve for x
    x = 191,929,419,506.25/206,649
  6. Step 6: Final answer
    x = 928,770.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.