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Finding the Third Proportional to 385,996 and 850,520

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Solution

The third proportional to 385,996 and 850,520 is: 1,874,071.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,996 : 850,520 = 850,520 : x
  2. Step 2: Convert to fraction form
    385,996/850,520 = 850,520/x
  3. Step 3: Cross multiply
    385,996x = 850,520 × 850,520
  4. Step 4: Simplify right side
    385,996x = 723,384,270,400
  5. Step 5: Solve for x
    x = 723,384,270,400/385,996
  6. Step 6: Final answer
    x = 1,874,071.93

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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.