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Finding the Third Proportional to 206,068 and 434,272

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Solution

The third proportional to 206,068 and 434,272 is: 915,193.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,068 : 434,272 = 434,272 : x
  2. Step 2: Convert to fraction form
    206,068/434,272 = 434,272/x
  3. Step 3: Cross multiply
    206,068x = 434,272 × 434,272
  4. Step 4: Simplify right side
    206,068x = 188,592,169,984
  5. Step 5: Solve for x
    x = 188,592,169,984/206,068
  6. Step 6: Final answer
    x = 915,193.87

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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.