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Finding the Third Proportional to 405,996 and 874,200

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Solution

The third proportional to 405,996 and 874,200 is: 1,882,347.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,996 : 874,200 = 874,200 : x
  2. Step 2: Convert to fraction form
    405,996/874,200 = 874,200/x
  3. Step 3: Cross multiply
    405,996x = 874,200 × 874,200
  4. Step 4: Simplify right side
    405,996x = 764,225,640,000
  5. Step 5: Solve for x
    x = 764,225,640,000/405,996
  6. Step 6: Final answer
    x = 1,882,347.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.