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Finding the Third Proportional to 150,193 and 209,980

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Solution

The third proportional to 150,193 and 209,980 is: 293,566.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,193 : 209,980 = 209,980 : x
  2. Step 2: Convert to fraction form
    150,193/209,980 = 209,980/x
  3. Step 3: Cross multiply
    150,193x = 209,980 × 209,980
  4. Step 4: Simplify right side
    150,193x = 44,091,600,400
  5. Step 5: Solve for x
    x = 44,091,600,400/150,193
  6. Step 6: Final answer
    x = 293,566.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.