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Finding the Third Proportional to 408,015 and 612,378

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Solution

The third proportional to 408,015 and 612,378 is: 919,100.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,015 : 612,378 = 612,378 : x
  2. Step 2: Convert to fraction form
    408,015/612,378 = 612,378/x
  3. Step 3: Cross multiply
    408,015x = 612,378 × 612,378
  4. Step 4: Simplify right side
    408,015x = 375,006,814,884
  5. Step 5: Solve for x
    x = 375,006,814,884/408,015
  6. Step 6: Final answer
    x = 919,100.56

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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.