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Finding the Third Proportional to 1,289.99 and 2,785.01

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Solution

The third proportional to 1,289.99 and 2,785.01 is: 6,012.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.99 : 2,785.01 = 2,785.01 : x
  2. Step 2: Convert to fraction form
    1,289.99/2,785.01 = 2,785.01/x
  3. Step 3: Cross multiply
    1,289.99x = 2,785.01 × 2,785.01
  4. Step 4: Simplify right side
    1,289.99x = 7,756,268.52
  5. Step 5: Solve for x
    x = 7,756,268.52/1,289.99
  6. Step 6: Final answer
    x = 6,012.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.