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Finding the Third Proportional to 378,669 and 810,531

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Solution

The third proportional to 378,669 and 810,531 is: 1,734,920.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,669 : 810,531 = 810,531 : x
  2. Step 2: Convert to fraction form
    378,669/810,531 = 810,531/x
  3. Step 3: Cross multiply
    378,669x = 810,531 × 810,531
  4. Step 4: Simplify right side
    378,669x = 656,960,501,961
  5. Step 5: Solve for x
    x = 656,960,501,961/378,669
  6. Step 6: Final answer
    x = 1,734,920.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.