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Finding the Third Proportional to 434,686 and 664,945

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Solution

The third proportional to 434,686 and 664,945 is: 1,017,175.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,686 : 664,945 = 664,945 : x
  2. Step 2: Convert to fraction form
    434,686/664,945 = 664,945/x
  3. Step 3: Cross multiply
    434,686x = 664,945 × 664,945
  4. Step 4: Simplify right side
    434,686x = 442,151,853,025
  5. Step 5: Solve for x
    x = 442,151,853,025/434,686
  6. Step 6: Final answer
    x = 1,017,175.28

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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.