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Finding the Third Proportional to 192,406 and 295,989

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Solution

The third proportional to 192,406 and 295,989 is: 455,336.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,406 : 295,989 = 295,989 : x
  2. Step 2: Convert to fraction form
    192,406/295,989 = 295,989/x
  3. Step 3: Cross multiply
    192,406x = 295,989 × 295,989
  4. Step 4: Simplify right side
    192,406x = 87,609,488,121
  5. Step 5: Solve for x
    x = 87,609,488,121/192,406
  6. Step 6: Final answer
    x = 455,336.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.