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Finding the Third Proportional to 380,571.75 and 836,480.25

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Solution

The third proportional to 380,571.75 and 836,480.25 is: 1,838,547.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,571.75 : 836,480.25 = 836,480.25 : x
  2. Step 2: Convert to fraction form
    380,571.75/836,480.25 = 836,480.25/x
  3. Step 3: Cross multiply
    380,571.75x = 836,480.25 × 836,480.25
  4. Step 4: Simplify right side
    380,571.75x = 699,699,208,640.06
  5. Step 5: Solve for x
    x = 699,699,208,640.06/380,571.75
  6. Step 6: Final answer
    x = 1,838,547.42

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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.