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Finding the Third Proportional to 180,399 and 389,400

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Solution

The third proportional to 180,399 and 389,400 is: 840,538.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,399 : 389,400 = 389,400 : x
  2. Step 2: Convert to fraction form
    180,399/389,400 = 389,400/x
  3. Step 3: Cross multiply
    180,399x = 389,400 × 389,400
  4. Step 4: Simplify right side
    180,399x = 151,632,360,000
  5. Step 5: Solve for x
    x = 151,632,360,000/180,399
  6. Step 6: Final answer
    x = 840,538.81

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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.