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Finding the Third Proportional to 180,133.88 and 388,101.38

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Solution

The third proportional to 180,133.88 and 388,101.38 is: 836,170.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,133.88 : 388,101.38 = 388,101.38 : x
  2. Step 2: Convert to fraction form
    180,133.88/388,101.38 = 388,101.38/x
  3. Step 3: Cross multiply
    180,133.88x = 388,101.38 × 388,101.38
  4. Step 4: Simplify right side
    180,133.88x = 150,622,677,276.89
  5. Step 5: Solve for x
    x = 150,622,677,276.89/180,133.88
  6. Step 6: Final answer
    x = 836,170.75

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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.