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Finding the Third Proportional to 1,199.81 and 2,621.81

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Solution

The third proportional to 1,199.81 and 2,621.81 is: 5,729.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.81 : 2,621.81 = 2,621.81 : x
  2. Step 2: Convert to fraction form
    1,199.81/2,621.81 = 2,621.81/x
  3. Step 3: Cross multiply
    1,199.81x = 2,621.81 × 2,621.81
  4. Step 4: Simplify right side
    1,199.81x = 6,873,900.79
  5. Step 5: Solve for x
    x = 6,873,900.79/1,199.81
  6. Step 6: Final answer
    x = 5,729.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.