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Finding the Third Proportional to 200,655 and 275,145.75

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Solution

The third proportional to 200,655 and 275,145.75 is: 377,290.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,655 : 275,145.75 = 275,145.75 : x
  2. Step 2: Convert to fraction form
    200,655/275,145.75 = 275,145.75/x
  3. Step 3: Cross multiply
    200,655x = 275,145.75 × 275,145.75
  4. Step 4: Simplify right side
    200,655x = 75,705,183,743.06
  5. Step 5: Solve for x
    x = 75,705,183,743.06/200,655
  6. Step 6: Final answer
    x = 377,290.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.