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Finding the Third Proportional to 11,980.48 and 18,138.62

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Solution

The third proportional to 11,980.48 and 18,138.62 is: 27,462.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,980.48 : 18,138.62 = 18,138.62 : x
  2. Step 2: Convert to fraction form
    11,980.48/18,138.62 = 18,138.62/x
  3. Step 3: Cross multiply
    11,980.48x = 18,138.62 × 18,138.62
  4. Step 4: Simplify right side
    11,980.48x = 329,009,575.18
  5. Step 5: Solve for x
    x = 329,009,575.18/11,980.48
  6. Step 6: Final answer
    x = 27,462.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.