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Finding the Third Proportional to 263,513 and 578,245

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Solution

The third proportional to 263,513 and 578,245 is: 1,268,883.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,513 : 578,245 = 578,245 : x
  2. Step 2: Convert to fraction form
    263,513/578,245 = 578,245/x
  3. Step 3: Cross multiply
    263,513x = 578,245 × 578,245
  4. Step 4: Simplify right side
    263,513x = 334,367,280,025
  5. Step 5: Solve for x
    x = 334,367,280,025/263,513
  6. Step 6: Final answer
    x = 1,268,883.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.