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Finding the Third Proportional to 207,450 and 422,515.50

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Solution

The third proportional to 207,450 and 422,515.50 is: 860,541.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,450 : 422,515.50 = 422,515.50 : x
  2. Step 2: Convert to fraction form
    207,450/422,515.50 = 422,515.50/x
  3. Step 3: Cross multiply
    207,450x = 422,515.50 × 422,515.50
  4. Step 4: Simplify right side
    207,450x = 178,519,347,740.25
  5. Step 5: Solve for x
    x = 178,519,347,740.25/207,450
  6. Step 6: Final answer
    x = 860,541.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.