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Finding the Third Proportional to 418,016 and 647,472

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Solution

The third proportional to 418,016 and 647,472 is: 1,002,880.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,016 : 647,472 = 647,472 : x
  2. Step 2: Convert to fraction form
    418,016/647,472 = 647,472/x
  3. Step 3: Cross multiply
    418,016x = 647,472 × 647,472
  4. Step 4: Simplify right side
    418,016x = 419,219,990,784
  5. Step 5: Solve for x
    x = 419,219,990,784/418,016
  6. Step 6: Final answer
    x = 1,002,880.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.