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Finding the Third Proportional to 199,968.75 and 422,415

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Solution

The third proportional to 199,968.75 and 422,415 is: 892,311.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,968.75 : 422,415 = 422,415 : x
  2. Step 2: Convert to fraction form
    199,968.75/422,415 = 422,415/x
  3. Step 3: Cross multiply
    199,968.75x = 422,415 × 422,415
  4. Step 4: Simplify right side
    199,968.75x = 178,434,432,225
  5. Step 5: Solve for x
    x = 178,434,432,225/199,968.75
  6. Step 6: Final answer
    x = 892,311.58

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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.