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Finding the Third Proportional to 263,760 and 389,844

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Solution

The third proportional to 263,760 and 389,844 is: 576,199.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,760 : 389,844 = 389,844 : x
  2. Step 2: Convert to fraction form
    263,760/389,844 = 389,844/x
  3. Step 3: Cross multiply
    263,760x = 389,844 × 389,844
  4. Step 4: Simplify right side
    263,760x = 151,978,344,336
  5. Step 5: Solve for x
    x = 151,978,344,336/263,760
  6. Step 6: Final answer
    x = 576,199.36

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.