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Finding the Third Proportional to 197,928 and 415,299

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Solution

The third proportional to 197,928 and 415,299 is: 871,393.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,928 : 415,299 = 415,299 : x
  2. Step 2: Convert to fraction form
    197,928/415,299 = 415,299/x
  3. Step 3: Cross multiply
    197,928x = 415,299 × 415,299
  4. Step 4: Simplify right side
    197,928x = 172,473,259,401
  5. Step 5: Solve for x
    x = 172,473,259,401/197,928
  6. Step 6: Final answer
    x = 871,393.94

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.