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Finding the Third Proportional to 408,061 and 612,093

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Solution

The third proportional to 408,061 and 612,093 is: 918,141.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,061 : 612,093 = 612,093 : x
  2. Step 2: Convert to fraction form
    408,061/612,093 = 612,093/x
  3. Step 3: Cross multiply
    408,061x = 612,093 × 612,093
  4. Step 4: Simplify right side
    408,061x = 374,657,840,649
  5. Step 5: Solve for x
    x = 374,657,840,649/408,061
  6. Step 6: Final answer
    x = 918,141.75

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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.