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Finding the Third Proportional to 380,558.25 and 836,446.50

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Solution

The third proportional to 380,558.25 and 836,446.50 is: 1,838,464.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,558.25 : 836,446.50 = 836,446.50 : x
  2. Step 2: Convert to fraction form
    380,558.25/836,446.50 = 836,446.50/x
  3. Step 3: Cross multiply
    380,558.25x = 836,446.50 × 836,446.50
  4. Step 4: Simplify right side
    380,558.25x = 699,642,747,362.25
  5. Step 5: Solve for x
    x = 699,642,747,362.25/380,558.25
  6. Step 6: Final answer
    x = 1,838,464.28

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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.