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Finding the Third Proportional to 315,717 and 481,455

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Solution

The third proportional to 315,717 and 481,455 is: 734,198.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,717 : 481,455 = 481,455 : x
  2. Step 2: Convert to fraction form
    315,717/481,455 = 481,455/x
  3. Step 3: Cross multiply
    315,717x = 481,455 × 481,455
  4. Step 4: Simplify right side
    315,717x = 231,798,917,025
  5. Step 5: Solve for x
    x = 231,798,917,025/315,717
  6. Step 6: Final answer
    x = 734,198.40

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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.