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Finding the Third Proportional to 414,304 and 639,774

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Solution

The third proportional to 414,304 and 639,774 is: 987,947.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,304 : 639,774 = 639,774 : x
  2. Step 2: Convert to fraction form
    414,304/639,774 = 639,774/x
  3. Step 3: Cross multiply
    414,304x = 639,774 × 639,774
  4. Step 4: Simplify right side
    414,304x = 409,310,771,076
  5. Step 5: Solve for x
    x = 409,310,771,076/414,304
  6. Step 6: Final answer
    x = 987,947.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.