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Finding the Third Proportional to 640,134 and 1,379,412

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Solution

The third proportional to 640,134 and 1,379,412 is: 2,972,467.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,134 : 1,379,412 = 1,379,412 : x
  2. Step 2: Convert to fraction form
    640,134/1,379,412 = 1,379,412/x
  3. Step 3: Cross multiply
    640,134x = 1,379,412 × 1,379,412
  4. Step 4: Simplify right side
    640,134x = 1,902,777,465,744
  5. Step 5: Solve for x
    x = 1,902,777,465,744/640,134
  6. Step 6: Final answer
    x = 2,972,467.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.