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Finding the Third Proportional to 255,708 and 397,017

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Solution

The third proportional to 255,708 and 397,017 is: 616,415.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,708 : 397,017 = 397,017 : x
  2. Step 2: Convert to fraction form
    255,708/397,017 = 397,017/x
  3. Step 3: Cross multiply
    255,708x = 397,017 × 397,017
  4. Step 4: Simplify right side
    255,708x = 157,622,498,289
  5. Step 5: Solve for x
    x = 157,622,498,289/255,708
  6. Step 6: Final answer
    x = 616,415.98

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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.