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Finding the Third Proportional to 1,636 and 3,952

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Solution

The third proportional to 1,636 and 3,952 is: 9,546.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636 : 3,952 = 3,952 : x
  2. Step 2: Convert to fraction form
    1,636/3,952 = 3,952/x
  3. Step 3: Cross multiply
    1,636x = 3,952 × 3,952
  4. Step 4: Simplify right side
    1,636x = 15,618,304
  5. Step 5: Solve for x
    x = 15,618,304/1,636
  6. Step 6: Final answer
    x = 9,546.64

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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.