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Finding the Third Proportional to 12,219.75 and 18,582.75

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Solution

The third proportional to 12,219.75 and 18,582.75 is: 28,259.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,219.75 : 18,582.75 = 18,582.75 : x
  2. Step 2: Convert to fraction form
    12,219.75/18,582.75 = 18,582.75/x
  3. Step 3: Cross multiply
    12,219.75x = 18,582.75 × 18,582.75
  4. Step 4: Simplify right side
    12,219.75x = 345,318,597.56
  5. Step 5: Solve for x
    x = 345,318,597.56/12,219.75
  6. Step 6: Final answer
    x = 28,259.06

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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.