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Finding the Third Proportional to 362,483,351,144 and 568,629,408,324

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Solution

The third proportional to 362,483,351,144 and 568,629,408,324 is: 892,011,737,892.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,483,351,144 : 568,629,408,324 = 568,629,408,324 : x
  2. Step 2: Convert to fraction form
    362,483,351,144/568,629,408,324 = 568,629,408,324/x
  3. Step 3: Cross multiply
    362,483,351,144x = 568,629,408,324 × 568,629,408,324
  4. Step 4: Simplify right side
    362,483,351,144x = 323,339,404,010,902,328,967,168
  5. Step 5: Solve for x
    x = 323,339,404,010,902,328,967,168/362,483,351,144
  6. Step 6: Final answer
    x = 892,011,737,892.07

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.