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Finding the Third Proportional to 258,243 and 363,019

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Solution

The third proportional to 258,243 and 363,019 is: 510,305.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,243 : 363,019 = 363,019 : x
  2. Step 2: Convert to fraction form
    258,243/363,019 = 363,019/x
  3. Step 3: Cross multiply
    258,243x = 363,019 × 363,019
  4. Step 4: Simplify right side
    258,243x = 131,782,794,361
  5. Step 5: Solve for x
    x = 131,782,794,361/258,243
  6. Step 6: Final answer
    x = 510,305.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.