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Finding the Third Proportional to 434,862 and 691,821

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Solution

The third proportional to 434,862 and 691,821 is: 1,100,616.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,862 : 691,821 = 691,821 : x
  2. Step 2: Convert to fraction form
    434,862/691,821 = 691,821/x
  3. Step 3: Cross multiply
    434,862x = 691,821 × 691,821
  4. Step 4: Simplify right side
    434,862x = 478,616,296,041
  5. Step 5: Solve for x
    x = 478,616,296,041/434,862
  6. Step 6: Final answer
    x = 1,100,616.51

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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.