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Finding the Third Proportional to 380,565.38 and 836,459.25

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Solution

The third proportional to 380,565.38 and 836,459.25 is: 1,838,485.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,565.38 : 836,459.25 = 836,459.25 : x
  2. Step 2: Convert to fraction form
    380,565.38/836,459.25 = 836,459.25/x
  3. Step 3: Cross multiply
    380,565.38x = 836,459.25 × 836,459.25
  4. Step 4: Simplify right side
    380,565.38x = 699,664,076,910.56
  5. Step 5: Solve for x
    x = 699,664,076,910.56/380,565.38
  6. Step 6: Final answer
    x = 1,838,485.90

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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.