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Finding the Third Proportional to 447,168 and 664,674

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Solution

The third proportional to 447,168 and 664,674 is: 987,976.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,168 : 664,674 = 664,674 : x
  2. Step 2: Convert to fraction form
    447,168/664,674 = 664,674/x
  3. Step 3: Cross multiply
    447,168x = 664,674 × 664,674
  4. Step 4: Simplify right side
    447,168x = 441,791,526,276
  5. Step 5: Solve for x
    x = 441,791,526,276/447,168
  6. Step 6: Final answer
    x = 987,976.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.