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Finding the Third Proportional to 980.25 and 2,109.75

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Solution

The third proportional to 980.25 and 2,109.75 is: 4,540.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.25 : 2,109.75 = 2,109.75 : x
  2. Step 2: Convert to fraction form
    980.25/2,109.75 = 2,109.75/x
  3. Step 3: Cross multiply
    980.25x = 2,109.75 × 2,109.75
  4. Step 4: Simplify right side
    980.25x = 4,451,045.06
  5. Step 5: Solve for x
    x = 4,451,045.06/980.25
  6. Step 6: Final answer
    x = 4,540.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.