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Finding the Third Proportional to 843,396 and 1,815,744

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Solution

The third proportional to 843,396 and 1,815,744 is: 3,909,108.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,396 : 1,815,744 = 1,815,744 : x
  2. Step 2: Convert to fraction form
    843,396/1,815,744 = 1,815,744/x
  3. Step 3: Cross multiply
    843,396x = 1,815,744 × 1,815,744
  4. Step 4: Simplify right side
    843,396x = 3,296,926,273,536
  5. Step 5: Solve for x
    x = 3,296,926,273,536/843,396
  6. Step 6: Final answer
    x = 3,909,108.26

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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.