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Finding the Third Proportional to 180,140 and 388,200

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Solution

The third proportional to 180,140 and 388,200 is: 836,567.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,140 : 388,200 = 388,200 : x
  2. Step 2: Convert to fraction form
    180,140/388,200 = 388,200/x
  3. Step 3: Cross multiply
    180,140x = 388,200 × 388,200
  4. Step 4: Simplify right side
    180,140x = 150,699,240,000
  5. Step 5: Solve for x
    x = 150,699,240,000/180,140
  6. Step 6: Final answer
    x = 836,567.34

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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.