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Finding the Third Proportional to 180,102 and 388,140

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Solution

The third proportional to 180,102 and 388,140 is: 836,485.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,102 : 388,140 = 388,140 : x
  2. Step 2: Convert to fraction form
    180,102/388,140 = 388,140/x
  3. Step 3: Cross multiply
    180,102x = 388,140 × 388,140
  4. Step 4: Simplify right side
    180,102x = 150,652,659,600
  5. Step 5: Solve for x
    x = 150,652,659,600/180,102
  6. Step 6: Final answer
    x = 836,485.21

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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.