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Finding the Third Proportional to 200,697.75 and 275,212.69

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Solution

The third proportional to 200,697.75 and 275,212.69 is: 377,393.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,697.75 : 275,212.69 = 275,212.69 : x
  2. Step 2: Convert to fraction form
    200,697.75/275,212.69 = 275,212.69/x
  3. Step 3: Cross multiply
    200,697.75x = 275,212.69 × 275,212.69
  4. Step 4: Simplify right side
    200,697.75x = 75,742,023,360.97
  5. Step 5: Solve for x
    x = 75,742,023,360.97/200,697.75
  6. Step 6: Final answer
    x = 377,393.49

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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.