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Finding the Third Proportional to 355,571 and 540,268

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Solution

The third proportional to 355,571 and 540,268 is: 820,903.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,571 : 540,268 = 540,268 : x
  2. Step 2: Convert to fraction form
    355,571/540,268 = 540,268/x
  3. Step 3: Cross multiply
    355,571x = 540,268 × 540,268
  4. Step 4: Simplify right side
    355,571x = 291,889,511,824
  5. Step 5: Solve for x
    x = 291,889,511,824/355,571
  6. Step 6: Final answer
    x = 820,903.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.