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Finding the Third Proportional to 434,874 and 691,839

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Solution

The third proportional to 434,874 and 691,839 is: 1,100,643.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,874 : 691,839 = 691,839 : x
  2. Step 2: Convert to fraction form
    434,874/691,839 = 691,839/x
  3. Step 3: Cross multiply
    434,874x = 691,839 × 691,839
  4. Step 4: Simplify right side
    434,874x = 478,641,201,921
  5. Step 5: Solve for x
    x = 478,641,201,921/434,874
  6. Step 6: Final answer
    x = 1,100,643.41

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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.