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Finding the Third Proportional to 12,556.13 and 18,996.19

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Solution

The third proportional to 12,556.13 and 18,996.19 is: 28,739.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,556.13 : 18,996.19 = 18,996.19 : x
  2. Step 2: Convert to fraction form
    12,556.13/18,996.19 = 18,996.19/x
  3. Step 3: Cross multiply
    12,556.13x = 18,996.19 × 18,996.19
  4. Step 4: Simplify right side
    12,556.13x = 360,855,139.54
  5. Step 5: Solve for x
    x = 360,855,139.54/12,556.13
  6. Step 6: Final answer
    x = 28,739.37

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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.