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Finding the Third Proportional to 434,878 and 691,845

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Solution

The third proportional to 434,878 and 691,845 is: 1,100,652.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,878 : 691,845 = 691,845 : x
  2. Step 2: Convert to fraction form
    434,878/691,845 = 691,845/x
  3. Step 3: Cross multiply
    434,878x = 691,845 × 691,845
  4. Step 4: Simplify right side
    434,878x = 478,649,504,025
  5. Step 5: Solve for x
    x = 478,649,504,025/434,878
  6. Step 6: Final answer
    x = 1,100,652.38

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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.