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Finding the Third Proportional to 206,077.50 and 434,295

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Solution

The third proportional to 206,077.50 and 434,295 is: 915,248.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,077.50 : 434,295 = 434,295 : x
  2. Step 2: Convert to fraction form
    206,077.50/434,295 = 434,295/x
  3. Step 3: Cross multiply
    206,077.50x = 434,295 × 434,295
  4. Step 4: Simplify right side
    206,077.50x = 188,612,147,025
  5. Step 5: Solve for x
    x = 188,612,147,025/206,077.50
  6. Step 6: Final answer
    x = 915,248.62

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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.