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Finding the Third Proportional to 408,064 and 612,096

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Solution

The third proportional to 408,064 and 612,096 is: 918,144

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,064 : 612,096 = 612,096 : x
  2. Step 2: Convert to fraction form
    408,064/612,096 = 612,096/x
  3. Step 3: Cross multiply
    408,064x = 612,096 × 612,096
  4. Step 4: Simplify right side
    408,064x = 374,661,513,216
  5. Step 5: Solve for x
    x = 374,661,513,216/408,064
  6. Step 6: Final answer
    x = 918,144

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Why These Related Problems?

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