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Finding the Third Proportional to 328,174 and 419,299

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Solution

The third proportional to 328,174 and 419,299 is: 535,726.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,174 : 419,299 = 419,299 : x
  2. Step 2: Convert to fraction form
    328,174/419,299 = 419,299/x
  3. Step 3: Cross multiply
    328,174x = 419,299 × 419,299
  4. Step 4: Simplify right side
    328,174x = 175,811,651,401
  5. Step 5: Solve for x
    x = 175,811,651,401/328,174
  6. Step 6: Final answer
    x = 535,726.94

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.