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Finding the Third Proportional to 378,863 and 810,257

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Solution

The third proportional to 378,863 and 810,257 is: 1,732,859.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,863 : 810,257 = 810,257 : x
  2. Step 2: Convert to fraction form
    378,863/810,257 = 810,257/x
  3. Step 3: Cross multiply
    378,863x = 810,257 × 810,257
  4. Step 4: Simplify right side
    378,863x = 656,516,406,049
  5. Step 5: Solve for x
    x = 656,516,406,049/378,863
  6. Step 6: Final answer
    x = 1,732,859.65

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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.