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Finding the Third Proportional to 214,928 and 447,299

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Solution

The third proportional to 214,928 and 447,299 is: 930,899.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,928 : 447,299 = 447,299 : x
  2. Step 2: Convert to fraction form
    214,928/447,299 = 447,299/x
  3. Step 3: Cross multiply
    214,928x = 447,299 × 447,299
  4. Step 4: Simplify right side
    214,928x = 200,076,395,401
  5. Step 5: Solve for x
    x = 200,076,395,401/214,928
  6. Step 6: Final answer
    x = 930,899.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.