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Finding the Third Proportional to 12,003.19 and 18,830.81

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Solution

The third proportional to 12,003.19 and 18,830.81 is: 29,542.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,003.19 : 18,830.81 = 18,830.81 : x
  2. Step 2: Convert to fraction form
    12,003.19/18,830.81 = 18,830.81/x
  3. Step 3: Cross multiply
    12,003.19x = 18,830.81 × 18,830.81
  4. Step 4: Simplify right side
    12,003.19x = 354,599,499.41
  5. Step 5: Solve for x
    x = 354,599,499.41/12,003.19
  6. Step 6: Final answer
    x = 29,542.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.