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Finding the Third Proportional to 984.38 and 2,200.50

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Solution

The third proportional to 984.38 and 2,200.50 is: 4,919.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.38 : 2,200.50 = 2,200.50 : x
  2. Step 2: Convert to fraction form
    984.38/2,200.50 = 2,200.50/x
  3. Step 3: Cross multiply
    984.38x = 2,200.50 × 2,200.50
  4. Step 4: Simplify right side
    984.38x = 4,842,200.25
  5. Step 5: Solve for x
    x = 4,842,200.25/984.38
  6. Step 6: Final answer
    x = 4,919.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.