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Finding the Third Proportional to 2,005 and 3,431.50

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Solution

The third proportional to 2,005 and 3,431.50 is: 5,872.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005 : 3,431.50 = 3,431.50 : x
  2. Step 2: Convert to fraction form
    2,005/3,431.50 = 3,431.50/x
  3. Step 3: Cross multiply
    2,005x = 3,431.50 × 3,431.50
  4. Step 4: Simplify right side
    2,005x = 11,775,192.25
  5. Step 5: Solve for x
    x = 11,775,192.25/2,005
  6. Step 6: Final answer
    x = 5,872.91

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.