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Finding the Third Proportional to 199,665 and 439,497

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Solution

The third proportional to 199,665 and 439,497 is: 967,408.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,665 : 439,497 = 439,497 : x
  2. Step 2: Convert to fraction form
    199,665/439,497 = 439,497/x
  3. Step 3: Cross multiply
    199,665x = 439,497 × 439,497
  4. Step 4: Simplify right side
    199,665x = 193,157,613,009
  5. Step 5: Solve for x
    x = 193,157,613,009/199,665
  6. Step 6: Final answer
    x = 967,408.47

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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.