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Finding the Third Proportional to 12,279.09 and 18,521.16

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Solution

The third proportional to 12,279.09 and 18,521.16 is: 27,936.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,279.09 : 18,521.16 = 18,521.16 : x
  2. Step 2: Convert to fraction form
    12,279.09/18,521.16 = 18,521.16/x
  3. Step 3: Cross multiply
    12,279.09x = 18,521.16 × 18,521.16
  4. Step 4: Simplify right side
    12,279.09x = 343,033,228.84
  5. Step 5: Solve for x
    x = 343,033,228.84/12,279.09
  6. Step 6: Final answer
    x = 27,936.36

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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.