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Finding the Third Proportional to 300,190 and 650,203

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Solution

The third proportional to 300,190 and 650,203 is: 1,408,321.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,190 : 650,203 = 650,203 : x
  2. Step 2: Convert to fraction form
    300,190/650,203 = 650,203/x
  3. Step 3: Cross multiply
    300,190x = 650,203 × 650,203
  4. Step 4: Simplify right side
    300,190x = 422,763,941,209
  5. Step 5: Solve for x
    x = 422,763,941,209/300,190
  6. Step 6: Final answer
    x = 1,408,321.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.