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Finding the Third Proportional to 408,282 and 612,830

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Solution

The third proportional to 408,282 and 612,830 is: 919,855.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,282 : 612,830 = 612,830 : x
  2. Step 2: Convert to fraction form
    408,282/612,830 = 612,830/x
  3. Step 3: Cross multiply
    408,282x = 612,830 × 612,830
  4. Step 4: Simplify right side
    408,282x = 375,560,608,900
  5. Step 5: Solve for x
    x = 375,560,608,900/408,282
  6. Step 6: Final answer
    x = 919,855.91

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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.