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Finding the Third Proportional to 375,878 and 809,914

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Solution

The third proportional to 375,878 and 809,914 is: 1,745,142.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,878 : 809,914 = 809,914 : x
  2. Step 2: Convert to fraction form
    375,878/809,914 = 809,914/x
  3. Step 3: Cross multiply
    375,878x = 809,914 × 809,914
  4. Step 4: Simplify right side
    375,878x = 655,960,687,396
  5. Step 5: Solve for x
    x = 655,960,687,396/375,878
  6. Step 6: Final answer
    x = 1,745,142.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.