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Finding the Third Proportional to 138,180 and 305,400

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Solution

The third proportional to 138,180 and 305,400 is: 674,983.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,180 : 305,400 = 305,400 : x
  2. Step 2: Convert to fraction form
    138,180/305,400 = 305,400/x
  3. Step 3: Cross multiply
    138,180x = 305,400 × 305,400
  4. Step 4: Simplify right side
    138,180x = 93,269,160,000
  5. Step 5: Solve for x
    x = 93,269,160,000/138,180
  6. Step 6: Final answer
    x = 674,983.07

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.