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Finding the Third Proportional to 385,992 and 850,515

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Solution

The third proportional to 385,992 and 850,515 is: 1,874,069.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,992 : 850,515 = 850,515 : x
  2. Step 2: Convert to fraction form
    385,992/850,515 = 850,515/x
  3. Step 3: Cross multiply
    385,992x = 850,515 × 850,515
  4. Step 4: Simplify right side
    385,992x = 723,375,765,225
  5. Step 5: Solve for x
    x = 723,375,765,225/385,992
  6. Step 6: Final answer
    x = 1,874,069.32

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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.