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Finding the Third Proportional to 12,981.09 and 19,449.84

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Solution

The third proportional to 12,981.09 and 19,449.84 is: 29,142.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,981.09 : 19,449.84 = 19,449.84 : x
  2. Step 2: Convert to fraction form
    12,981.09/19,449.84 = 19,449.84/x
  3. Step 3: Cross multiply
    12,981.09x = 19,449.84 × 19,449.84
  4. Step 4: Simplify right side
    12,981.09x = 378,296,421.90
  5. Step 5: Solve for x
    x = 378,296,421.90/12,981.09
  6. Step 6: Final answer
    x = 29,142.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.