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Finding the Third Proportional to 984.75 and 2,089.50

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Solution

The third proportional to 984.75 and 2,089.50 is: 4,433.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.75 : 2,089.50 = 2,089.50 : x
  2. Step 2: Convert to fraction form
    984.75/2,089.50 = 2,089.50/x
  3. Step 3: Cross multiply
    984.75x = 2,089.50 × 2,089.50
  4. Step 4: Simplify right side
    984.75x = 4,366,010.25
  5. Step 5: Solve for x
    x = 4,366,010.25/984.75
  6. Step 6: Final answer
    x = 4,433.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.