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Finding the Third Proportional to 200,832 and 295,104

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Solution

The third proportional to 200,832 and 295,104 is: 433,627.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,832 : 295,104 = 295,104 : x
  2. Step 2: Convert to fraction form
    200,832/295,104 = 295,104/x
  3. Step 3: Cross multiply
    200,832x = 295,104 × 295,104
  4. Step 4: Simplify right side
    200,832x = 87,086,370,816
  5. Step 5: Solve for x
    x = 87,086,370,816/200,832
  6. Step 6: Final answer
    x = 433,627.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.