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Finding the Third Proportional to 262,603 and 397,036

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Solution

The third proportional to 262,603 and 397,036 is: 600,288.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,603 : 397,036 = 397,036 : x
  2. Step 2: Convert to fraction form
    262,603/397,036 = 397,036/x
  3. Step 3: Cross multiply
    262,603x = 397,036 × 397,036
  4. Step 4: Simplify right side
    262,603x = 157,637,585,296
  5. Step 5: Solve for x
    x = 157,637,585,296/262,603
  6. Step 6: Final answer
    x = 600,288.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.