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Finding the Third Proportional to 380,563.31 and 836,456.63

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Solution

The third proportional to 380,563.31 and 836,456.63 is: 1,838,484.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,563.31 : 836,456.63 = 836,456.63 : x
  2. Step 2: Convert to fraction form
    380,563.31/836,456.63 = 836,456.63/x
  3. Step 3: Cross multiply
    380,563.31x = 836,456.63 × 836,456.63
  4. Step 4: Simplify right side
    380,563.31x = 699,659,685,506.39
  5. Step 5: Solve for x
    x = 699,659,685,506.39/380,563.31
  6. Step 6: Final answer
    x = 1,838,484.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.