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Finding the Third Proportional to 288,409 and 621,193

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Solution

The third proportional to 288,409 and 621,193 is: 1,337,963.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,409 : 621,193 = 621,193 : x
  2. Step 2: Convert to fraction form
    288,409/621,193 = 621,193/x
  3. Step 3: Cross multiply
    288,409x = 621,193 × 621,193
  4. Step 4: Simplify right side
    288,409x = 385,880,743,249
  5. Step 5: Solve for x
    x = 385,880,743,249/288,409
  6. Step 6: Final answer
    x = 1,337,963.60

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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.