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Finding the Third Proportional to 380,776.78 and 836,291.74

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Solution

The third proportional to 380,776.78 and 836,291.74 is: 1,836,729.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,776.78 : 836,291.74 = 836,291.74 : x
  2. Step 2: Convert to fraction form
    380,776.78/836,291.74 = 836,291.74/x
  3. Step 3: Cross multiply
    380,776.78x = 836,291.74 × 836,291.74
  4. Step 4: Simplify right side
    380,776.78x = 699,383,878,051.00
  5. Step 5: Solve for x
    x = 699,383,878,051.00/380,776.78
  6. Step 6: Final answer
    x = 1,836,729.32

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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.