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Finding the Third Proportional to 206,084.25 and 434,308.50

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Solution

The third proportional to 206,084.25 and 434,308.50 is: 915,275.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,084.25 : 434,308.50 = 434,308.50 : x
  2. Step 2: Convert to fraction form
    206,084.25/434,308.50 = 434,308.50/x
  3. Step 3: Cross multiply
    206,084.25x = 434,308.50 × 434,308.50
  4. Step 4: Simplify right side
    206,084.25x = 188,623,873,172.25
  5. Step 5: Solve for x
    x = 188,623,873,172.25/206,084.25
  6. Step 6: Final answer
    x = 915,275.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.