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Finding the Third Proportional to 12,160.13 and 18,776.81

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Solution

The third proportional to 12,160.13 and 18,776.81 is: 28,993.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,160.13 : 18,776.81 = 18,776.81 : x
  2. Step 2: Convert to fraction form
    12,160.13/18,776.81 = 18,776.81/x
  3. Step 3: Cross multiply
    12,160.13x = 18,776.81 × 18,776.81
  4. Step 4: Simplify right side
    12,160.13x = 352,568,687.66
  5. Step 5: Solve for x
    x = 352,568,687.66/12,160.13
  6. Step 6: Final answer
    x = 28,993.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.