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Finding the Third Proportional to 183,354 and 378,129

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Solution

The third proportional to 183,354 and 378,129 is: 779,811.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,354 : 378,129 = 378,129 : x
  2. Step 2: Convert to fraction form
    183,354/378,129 = 378,129/x
  3. Step 3: Cross multiply
    183,354x = 378,129 × 378,129
  4. Step 4: Simplify right side
    183,354x = 142,981,540,641
  5. Step 5: Solve for x
    x = 142,981,540,641/183,354
  6. Step 6: Final answer
    x = 779,811.41

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.