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Finding the Third Proportional to 428,304 and 666,192

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Solution

The third proportional to 428,304 and 666,192 is: 1,036,207.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,304 : 666,192 = 666,192 : x
  2. Step 2: Convert to fraction form
    428,304/666,192 = 666,192/x
  3. Step 3: Cross multiply
    428,304x = 666,192 × 666,192
  4. Step 4: Simplify right side
    428,304x = 443,811,780,864
  5. Step 5: Solve for x
    x = 443,811,780,864/428,304
  6. Step 6: Final answer
    x = 1,036,207.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.