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Finding the Third Proportional to 378,929 and 810,373

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Solution

The third proportional to 378,929 and 810,373 is: 1,733,053.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,929 : 810,373 = 810,373 : x
  2. Step 2: Convert to fraction form
    378,929/810,373 = 810,373/x
  3. Step 3: Cross multiply
    378,929x = 810,373 × 810,373
  4. Step 4: Simplify right side
    378,929x = 656,704,399,129
  5. Step 5: Solve for x
    x = 656,704,399,129/378,929
  6. Step 6: Final answer
    x = 1,733,053.95

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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.