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Finding the Third Proportional to 206,172 and 434,472

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Solution

The third proportional to 206,172 and 434,472 is: 915,574.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,172 : 434,472 = 434,472 : x
  2. Step 2: Convert to fraction form
    206,172/434,472 = 434,472/x
  3. Step 3: Cross multiply
    206,172x = 434,472 × 434,472
  4. Step 4: Simplify right side
    206,172x = 188,765,918,784
  5. Step 5: Solve for x
    x = 188,765,918,784/206,172
  6. Step 6: Final answer
    x = 915,574.95

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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.