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Finding the Third Proportional to 173,434 and 378,380

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Solution

The third proportional to 173,434 and 378,380 is: 825,509.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,434 : 378,380 = 378,380 : x
  2. Step 2: Convert to fraction form
    173,434/378,380 = 378,380/x
  3. Step 3: Cross multiply
    173,434x = 378,380 × 378,380
  4. Step 4: Simplify right side
    173,434x = 143,171,424,400
  5. Step 5: Solve for x
    x = 143,171,424,400/173,434
  6. Step 6: Final answer
    x = 825,509.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.