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Finding the Third Proportional to 380,779.50 and 836,297.50

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Solution

The third proportional to 380,779.50 and 836,297.50 is: 1,836,741.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,779.50 : 836,297.50 = 836,297.50 : x
  2. Step 2: Convert to fraction form
    380,779.50/836,297.50 = 836,297.50/x
  3. Step 3: Cross multiply
    380,779.50x = 836,297.50 × 836,297.50
  4. Step 4: Simplify right side
    380,779.50x = 699,393,508,506.25
  5. Step 5: Solve for x
    x = 699,393,508,506.25/380,779.50
  6. Step 6: Final answer
    x = 1,836,741.50

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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.