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Finding the Third Proportional to 12,382.88 and 19,181.81

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Solution

The third proportional to 12,382.88 and 19,181.81 is: 29,713.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.88 : 19,181.81 = 19,181.81 : x
  2. Step 2: Convert to fraction form
    12,382.88/19,181.81 = 19,181.81/x
  3. Step 3: Cross multiply
    12,382.88x = 19,181.81 × 19,181.81
  4. Step 4: Simplify right side
    12,382.88x = 367,941,930.79
  5. Step 5: Solve for x
    x = 367,941,930.79/12,382.88
  6. Step 6: Final answer
    x = 29,713.77

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.