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Finding the Third Proportional to 199,912.50 and 422,271

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Solution

The third proportional to 199,912.50 and 422,271 is: 891,954.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,912.50 : 422,271 = 422,271 : x
  2. Step 2: Convert to fraction form
    199,912.50/422,271 = 422,271/x
  3. Step 3: Cross multiply
    199,912.50x = 422,271 × 422,271
  4. Step 4: Simplify right side
    199,912.50x = 178,312,797,441
  5. Step 5: Solve for x
    x = 178,312,797,441/199,912.50
  6. Step 6: Final answer
    x = 891,954.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.