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Finding the Third Proportional to 180,318 and 384,760

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Solution

The third proportional to 180,318 and 384,760 is: 820,995.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,318 : 384,760 = 384,760 : x
  2. Step 2: Convert to fraction form
    180,318/384,760 = 384,760/x
  3. Step 3: Cross multiply
    180,318x = 384,760 × 384,760
  4. Step 4: Simplify right side
    180,318x = 148,040,257,600
  5. Step 5: Solve for x
    x = 148,040,257,600/180,318
  6. Step 6: Final answer
    x = 820,995.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.