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Finding the Third Proportional to 843,394.78 and 1,836,538.31

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Solution

The third proportional to 843,394.78 and 1,836,538.31 is: 3,999,162.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,394.78 : 1,836,538.31 = 1,836,538.31 : x
  2. Step 2: Convert to fraction form
    843,394.78/1,836,538.31 = 1,836,538.31/x
  3. Step 3: Cross multiply
    843,394.78x = 1,836,538.31 × 1,836,538.31
  4. Step 4: Simplify right side
    843,394.78x = 3,372,872,973,280.35
  5. Step 5: Solve for x
    x = 3,372,872,973,280.35/843,394.78
  6. Step 6: Final answer
    x = 3,999,162.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.