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Finding the Third Proportional to 203,872 and 433,987

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Solution

The third proportional to 203,872 and 433,987 is: 923,838.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,872 : 433,987 = 433,987 : x
  2. Step 2: Convert to fraction form
    203,872/433,987 = 433,987/x
  3. Step 3: Cross multiply
    203,872x = 433,987 × 433,987
  4. Step 4: Simplify right side
    203,872x = 188,344,716,169
  5. Step 5: Solve for x
    x = 188,344,716,169/203,872
  6. Step 6: Final answer
    x = 923,838.08

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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.