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Finding the Third Proportional to 1,205.09 and 2,628.91

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Solution

The third proportional to 1,205.09 and 2,628.91 is: 5,735.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.09 : 2,628.91 = 2,628.91 : x
  2. Step 2: Convert to fraction form
    1,205.09/2,628.91 = 2,628.91/x
  3. Step 3: Cross multiply
    1,205.09x = 2,628.91 × 2,628.91
  4. Step 4: Simplify right side
    1,205.09x = 6,911,189.15
  5. Step 5: Solve for x
    x = 6,911,189.15/1,205.09
  6. Step 6: Final answer
    x = 5,735.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.