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Finding the Third Proportional to 1,609 and 3,896.50

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Solution

The third proportional to 1,609 and 3,896.50 is: 9,436.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609 : 3,896.50 = 3,896.50 : x
  2. Step 2: Convert to fraction form
    1,609/3,896.50 = 3,896.50/x
  3. Step 3: Cross multiply
    1,609x = 3,896.50 × 3,896.50
  4. Step 4: Simplify right side
    1,609x = 15,182,712.25
  5. Step 5: Solve for x
    x = 15,182,712.25/1,609
  6. Step 6: Final answer
    x = 9,436.12

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.