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Finding the Third Proportional to 170,415 and 263,601

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Solution

The third proportional to 170,415 and 263,601 is: 407,742.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,415 : 263,601 = 263,601 : x
  2. Step 2: Convert to fraction form
    170,415/263,601 = 263,601/x
  3. Step 3: Cross multiply
    170,415x = 263,601 × 263,601
  4. Step 4: Simplify right side
    170,415x = 69,485,487,201
  5. Step 5: Solve for x
    x = 69,485,487,201/170,415
  6. Step 6: Final answer
    x = 407,742.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.