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Finding the Third Proportional to 7,147 and 11,412

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Solution

The third proportional to 7,147 and 11,412 is: 18,222.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147 : 11,412 = 11,412 : x
  2. Step 2: Convert to fraction form
    7,147/11,412 = 11,412/x
  3. Step 3: Cross multiply
    7,147x = 11,412 × 11,412
  4. Step 4: Simplify right side
    7,147x = 130,233,744
  5. Step 5: Solve for x
    x = 130,233,744/7,147
  6. Step 6: Final answer
    x = 18,222.16

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.