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Finding the Third Proportional to 12,165.19 and 18,490.78

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Solution

The third proportional to 12,165.19 and 18,490.78 is: 28,105.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.19 : 18,490.78 = 18,490.78 : x
  2. Step 2: Convert to fraction form
    12,165.19/18,490.78 = 18,490.78/x
  3. Step 3: Cross multiply
    12,165.19x = 18,490.78 × 18,490.78
  4. Step 4: Simplify right side
    12,165.19x = 341,908,991.24
  5. Step 5: Solve for x
    x = 341,908,991.24/12,165.19
  6. Step 6: Final answer
    x = 28,105.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.