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Finding the Third Proportional to 434,668 and 664,917

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Solution

The third proportional to 434,668 and 664,917 is: 1,017,131.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,668 : 664,917 = 664,917 : x
  2. Step 2: Convert to fraction form
    434,668/664,917 = 664,917/x
  3. Step 3: Cross multiply
    434,668x = 664,917 × 664,917
  4. Step 4: Simplify right side
    434,668x = 442,114,616,889
  5. Step 5: Solve for x
    x = 442,114,616,889/434,668
  6. Step 6: Final answer
    x = 1,017,131.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.