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Finding the Third Proportional to 434,684 and 691,661

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Solution

The third proportional to 434,684 and 691,661 is: 1,100,557.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,684 : 691,661 = 691,661 : x
  2. Step 2: Convert to fraction form
    434,684/691,661 = 691,661/x
  3. Step 3: Cross multiply
    434,684x = 691,661 × 691,661
  4. Step 4: Simplify right side
    434,684x = 478,394,938,921
  5. Step 5: Solve for x
    x = 478,394,938,921/434,684
  6. Step 6: Final answer
    x = 1,100,557.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.