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Finding the Third Proportional to 984,800 and 2,142,144.50

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Solution

The third proportional to 984,800 and 2,142,144.50 is: 4,659,609.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,800 : 2,142,144.50 = 2,142,144.50 : x
  2. Step 2: Convert to fraction form
    984,800/2,142,144.50 = 2,142,144.50/x
  3. Step 3: Cross multiply
    984,800x = 2,142,144.50 × 2,142,144.50
  4. Step 4: Simplify right side
    984,800x = 4,588,783,058,880.25
  5. Step 5: Solve for x
    x = 4,588,783,058,880.25/984,800
  6. Step 6: Final answer
    x = 4,659,609.12

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