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Finding the Third Proportional to 269,004 and 402,990

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Solution

The third proportional to 269,004 and 402,990 is: 603,711.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,004 : 402,990 = 402,990 : x
  2. Step 2: Convert to fraction form
    269,004/402,990 = 402,990/x
  3. Step 3: Cross multiply
    269,004x = 402,990 × 402,990
  4. Step 4: Simplify right side
    269,004x = 162,400,940,100
  5. Step 5: Solve for x
    x = 162,400,940,100/269,004
  6. Step 6: Final answer
    x = 603,711.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.