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Finding the Third Proportional to 3,032 and 6,968

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Solution

The third proportional to 3,032 and 6,968 is: 16,013.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032 : 6,968 = 6,968 : x
  2. Step 2: Convert to fraction form
    3,032/6,968 = 6,968/x
  3. Step 3: Cross multiply
    3,032x = 6,968 × 6,968
  4. Step 4: Simplify right side
    3,032x = 48,553,024
  5. Step 5: Solve for x
    x = 48,553,024/3,032
  6. Step 6: Final answer
    x = 16,013.53

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.