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Finding the Third Proportional to 103,205.25 and 215,772.75

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Solution

The third proportional to 103,205.25 and 215,772.75 is: 451,119.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,205.25 : 215,772.75 = 215,772.75 : x
  2. Step 2: Convert to fraction form
    103,205.25/215,772.75 = 215,772.75/x
  3. Step 3: Cross multiply
    103,205.25x = 215,772.75 × 215,772.75
  4. Step 4: Simplify right side
    103,205.25x = 46,557,879,642.56
  5. Step 5: Solve for x
    x = 46,557,879,642.56/103,205.25
  6. Step 6: Final answer
    x = 451,119.30

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.