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Finding the Third Proportional to 158,328 and 378,378

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Solution

The third proportional to 158,328 and 378,378 is: 904,261.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,328 : 378,378 = 378,378 : x
  2. Step 2: Convert to fraction form
    158,328/378,378 = 378,378/x
  3. Step 3: Cross multiply
    158,328x = 378,378 × 378,378
  4. Step 4: Simplify right side
    158,328x = 143,169,910,884
  5. Step 5: Solve for x
    x = 143,169,910,884/158,328
  6. Step 6: Final answer
    x = 904,261.48

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.