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Finding the Third Proportional to 440,448 and 664,800

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Solution

The third proportional to 440,448 and 664,800 is: 1,003,430.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,448 : 664,800 = 664,800 : x
  2. Step 2: Convert to fraction form
    440,448/664,800 = 664,800/x
  3. Step 3: Cross multiply
    440,448x = 664,800 × 664,800
  4. Step 4: Simplify right side
    440,448x = 441,959,040,000
  5. Step 5: Solve for x
    x = 441,959,040,000/440,448
  6. Step 6: Final answer
    x = 1,003,430.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.