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Finding the Third Proportional to 180,676 and 389,101

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Solution

The third proportional to 180,676 and 389,101 is: 837,961.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,676 : 389,101 = 389,101 : x
  2. Step 2: Convert to fraction form
    180,676/389,101 = 389,101/x
  3. Step 3: Cross multiply
    180,676x = 389,101 × 389,101
  4. Step 4: Simplify right side
    180,676x = 151,399,588,201
  5. Step 5: Solve for x
    x = 151,399,588,201/180,676
  6. Step 6: Final answer
    x = 837,961.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.