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Finding the Third Proportional to 117,007 and 188,430

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Solution

The third proportional to 117,007 and 188,430 is: 303,450.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,007 : 188,430 = 188,430 : x
  2. Step 2: Convert to fraction form
    117,007/188,430 = 188,430/x
  3. Step 3: Cross multiply
    117,007x = 188,430 × 188,430
  4. Step 4: Simplify right side
    117,007x = 35,505,864,900
  5. Step 5: Solve for x
    x = 35,505,864,900/117,007
  6. Step 6: Final answer
    x = 303,450.78

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.