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Finding the Third Proportional to 7,578 and 12,063

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Solution

The third proportional to 7,578 and 12,063 is: 19,202.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578 : 12,063 = 12,063 : x
  2. Step 2: Convert to fraction form
    7,578/12,063 = 12,063/x
  3. Step 3: Cross multiply
    7,578x = 12,063 × 12,063
  4. Step 4: Simplify right side
    7,578x = 145,515,969
  5. Step 5: Solve for x
    x = 145,515,969/7,578
  6. Step 6: Final answer
    x = 19,202.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.