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Finding the Third Proportional to 268,304 and 434,530

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Solution

The third proportional to 268,304 and 434,530 is: 703,740.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,304 : 434,530 = 434,530 : x
  2. Step 2: Convert to fraction form
    268,304/434,530 = 434,530/x
  3. Step 3: Cross multiply
    268,304x = 434,530 × 434,530
  4. Step 4: Simplify right side
    268,304x = 188,816,320,900
  5. Step 5: Solve for x
    x = 188,816,320,900/268,304
  6. Step 6: Final answer
    x = 703,740.24

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.