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Finding the Third Proportional to 375,917 and 810,517

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Solution

The third proportional to 375,917 and 810,517 is: 1,747,560.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,917 : 810,517 = 810,517 : x
  2. Step 2: Convert to fraction form
    375,917/810,517 = 810,517/x
  3. Step 3: Cross multiply
    375,917x = 810,517 × 810,517
  4. Step 4: Simplify right side
    375,917x = 656,937,807,289
  5. Step 5: Solve for x
    x = 656,937,807,289/375,917
  6. Step 6: Final answer
    x = 1,747,560.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.