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Finding the Third Proportional to 405,294 and 888,420

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Solution

The third proportional to 405,294 and 888,420 is: 1,947,450.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,294 : 888,420 = 888,420 : x
  2. Step 2: Convert to fraction form
    405,294/888,420 = 888,420/x
  3. Step 3: Cross multiply
    405,294x = 888,420 × 888,420
  4. Step 4: Simplify right side
    405,294x = 789,290,096,400
  5. Step 5: Solve for x
    x = 789,290,096,400/405,294
  6. Step 6: Final answer
    x = 1,947,450.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.