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Finding the Third Proportional to 12,808.13 and 18,786.94

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Solution

The third proportional to 12,808.13 and 18,786.94 is: 27,556.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,808.13 : 18,786.94 = 18,786.94 : x
  2. Step 2: Convert to fraction form
    12,808.13/18,786.94 = 18,786.94/x
  3. Step 3: Cross multiply
    12,808.13x = 18,786.94 × 18,786.94
  4. Step 4: Simplify right side
    12,808.13x = 352,949,020.63
  5. Step 5: Solve for x
    x = 352,949,020.63/12,808.13
  6. Step 6: Final answer
    x = 27,556.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.