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Finding the Third Proportional to 383,672 and 782,576

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Solution

The third proportional to 383,672 and 782,576 is: 1,596,220.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,672 : 782,576 = 782,576 : x
  2. Step 2: Convert to fraction form
    383,672/782,576 = 782,576/x
  3. Step 3: Cross multiply
    383,672x = 782,576 × 782,576
  4. Step 4: Simplify right side
    383,672x = 612,425,195,776
  5. Step 5: Solve for x
    x = 612,425,195,776/383,672
  6. Step 6: Final answer
    x = 1,596,220.72

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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.