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Finding the Third Proportional to 206,088 and 434,317

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Solution

The third proportional to 206,088 and 434,317 is: 915,294.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,088 : 434,317 = 434,317 : x
  2. Step 2: Convert to fraction form
    206,088/434,317 = 434,317/x
  3. Step 3: Cross multiply
    206,088x = 434,317 × 434,317
  4. Step 4: Simplify right side
    206,088x = 188,631,256,489
  5. Step 5: Solve for x
    x = 188,631,256,489/206,088
  6. Step 6: Final answer
    x = 915,294.71

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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.