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Finding the Third Proportional to 375,918 and 810,519

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Solution

The third proportional to 375,918 and 810,519 is: 1,747,564.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,918 : 810,519 = 810,519 : x
  2. Step 2: Convert to fraction form
    375,918/810,519 = 810,519/x
  3. Step 3: Cross multiply
    375,918x = 810,519 × 810,519
  4. Step 4: Simplify right side
    375,918x = 656,941,049,361
  5. Step 5: Solve for x
    x = 656,941,049,361/375,918
  6. Step 6: Final answer
    x = 1,747,564.76

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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.