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Finding the Third Proportional to 203,878 and 434,000

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Solution

The third proportional to 203,878 and 434,000 is: 923,866.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,878 : 434,000 = 434,000 : x
  2. Step 2: Convert to fraction form
    203,878/434,000 = 434,000/x
  3. Step 3: Cross multiply
    203,878x = 434,000 × 434,000
  4. Step 4: Simplify right side
    203,878x = 188,356,000,000
  5. Step 5: Solve for x
    x = 188,356,000,000/203,878
  6. Step 6: Final answer
    x = 923,866.23

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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.