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Finding the Third Proportional to 405,456 and 863,400

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Solution

The third proportional to 405,456 and 863,400 is: 1,838,570.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,456 : 863,400 = 863,400 : x
  2. Step 2: Convert to fraction form
    405,456/863,400 = 863,400/x
  3. Step 3: Cross multiply
    405,456x = 863,400 × 863,400
  4. Step 4: Simplify right side
    405,456x = 745,459,560,000
  5. Step 5: Solve for x
    x = 745,459,560,000/405,456
  6. Step 6: Final answer
    x = 1,838,570.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.