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Finding the Third Proportional to 203,875 and 433,993

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Solution

The third proportional to 203,875 and 433,993 is: 923,850.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,875 : 433,993 = 433,993 : x
  2. Step 2: Convert to fraction form
    203,875/433,993 = 433,993/x
  3. Step 3: Cross multiply
    203,875x = 433,993 × 433,993
  4. Step 4: Simplify right side
    203,875x = 188,349,924,049
  5. Step 5: Solve for x
    x = 188,349,924,049/203,875
  6. Step 6: Final answer
    x = 923,850.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.