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Finding the Third Proportional to 447,972 and 693,628

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Solution

The third proportional to 447,972 and 693,628 is: 1,073,995.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,972 : 693,628 = 693,628 : x
  2. Step 2: Convert to fraction form
    447,972/693,628 = 693,628/x
  3. Step 3: Cross multiply
    447,972x = 693,628 × 693,628
  4. Step 4: Simplify right side
    447,972x = 481,119,802,384
  5. Step 5: Solve for x
    x = 481,119,802,384/447,972
  6. Step 6: Final answer
    x = 1,073,995.26

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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.