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Finding the Third Proportional to 199,467 and 439,380

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Solution

The third proportional to 199,467 and 439,380 is: 967,853.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,467 : 439,380 = 439,380 : x
  2. Step 2: Convert to fraction form
    199,467/439,380 = 439,380/x
  3. Step 3: Cross multiply
    199,467x = 439,380 × 439,380
  4. Step 4: Simplify right side
    199,467x = 193,054,784,400
  5. Step 5: Solve for x
    x = 193,054,784,400/199,467
  6. Step 6: Final answer
    x = 967,853.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.