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Finding the Third Proportional to 419,646 and 665,509

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Solution

The third proportional to 419,646 and 665,509 is: 1,055,418.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,646 : 665,509 = 665,509 : x
  2. Step 2: Convert to fraction form
    419,646/665,509 = 665,509/x
  3. Step 3: Cross multiply
    419,646x = 665,509 × 665,509
  4. Step 4: Simplify right side
    419,646x = 442,902,229,081
  5. Step 5: Solve for x
    x = 442,902,229,081/419,646
  6. Step 6: Final answer
    x = 1,055,418.68

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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.