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Finding the Third Proportional to 179,628 and 383,649

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Solution

The third proportional to 179,628 and 383,649 is: 819,396.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,628 : 383,649 = 383,649 : x
  2. Step 2: Convert to fraction form
    179,628/383,649 = 383,649/x
  3. Step 3: Cross multiply
    179,628x = 383,649 × 383,649
  4. Step 4: Simplify right side
    179,628x = 147,186,555,201
  5. Step 5: Solve for x
    x = 147,186,555,201/179,628
  6. Step 6: Final answer
    x = 819,396.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.