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Finding the Third Proportional to 383,664 and 782,560

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Solution

The third proportional to 383,664 and 782,560 is: 1,596,188.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,664 : 782,560 = 782,560 : x
  2. Step 2: Convert to fraction form
    383,664/782,560 = 782,560/x
  3. Step 3: Cross multiply
    383,664x = 782,560 × 782,560
  4. Step 4: Simplify right side
    383,664x = 612,400,153,600
  5. Step 5: Solve for x
    x = 612,400,153,600/383,664
  6. Step 6: Final answer
    x = 1,596,188.73

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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.