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Finding the Third Proportional to 383,674 and 782,580

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Solution

The third proportional to 383,674 and 782,580 is: 1,596,228.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,674 : 782,580 = 782,580 : x
  2. Step 2: Convert to fraction form
    383,674/782,580 = 782,580/x
  3. Step 3: Cross multiply
    383,674x = 782,580 × 782,580
  4. Step 4: Simplify right side
    383,674x = 612,431,456,400
  5. Step 5: Solve for x
    x = 612,431,456,400/383,674
  6. Step 6: Final answer
    x = 1,596,228.72

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.