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Finding the Third Proportional to 3,309 and 5,952

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Solution

The third proportional to 3,309 and 5,952 is: 10,706.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309 : 5,952 = 5,952 : x
  2. Step 2: Convert to fraction form
    3,309/5,952 = 5,952/x
  3. Step 3: Cross multiply
    3,309x = 5,952 × 5,952
  4. Step 4: Simplify right side
    3,309x = 35,426,304
  5. Step 5: Solve for x
    x = 35,426,304/3,309
  6. Step 6: Final answer
    x = 10,706.05

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.