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Finding the Third Proportional to 180,086 and 388,103

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Solution

The third proportional to 180,086 and 388,103 is: 836,400.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,086 : 388,103 = 388,103 : x
  2. Step 2: Convert to fraction form
    180,086/388,103 = 388,103/x
  3. Step 3: Cross multiply
    180,086x = 388,103 × 388,103
  4. Step 4: Simplify right side
    180,086x = 150,623,938,609
  5. Step 5: Solve for x
    x = 150,623,938,609/180,086
  6. Step 6: Final answer
    x = 836,400.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.