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Finding the Third Proportional to 305,668 and 664,040

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Solution

The third proportional to 305,668 and 664,040 is: 1,442,575.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,668 : 664,040 = 664,040 : x
  2. Step 2: Convert to fraction form
    305,668/664,040 = 664,040/x
  3. Step 3: Cross multiply
    305,668x = 664,040 × 664,040
  4. Step 4: Simplify right side
    305,668x = 440,949,121,600
  5. Step 5: Solve for x
    x = 440,949,121,600/305,668
  6. Step 6: Final answer
    x = 1,442,575.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.