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Finding the Third Proportional to 11,684.25 and 18,138.94

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Solution

The third proportional to 11,684.25 and 18,138.94 is: 28,159.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.25 : 18,138.94 = 18,138.94 : x
  2. Step 2: Convert to fraction form
    11,684.25/18,138.94 = 18,138.94/x
  3. Step 3: Cross multiply
    11,684.25x = 18,138.94 × 18,138.94
  4. Step 4: Simplify right side
    11,684.25x = 329,021,053.63
  5. Step 5: Solve for x
    x = 329,021,053.63/11,684.25
  6. Step 6: Final answer
    x = 28,159.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.