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Finding the Third Proportional to 178,816 and 372,180

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Solution

The third proportional to 178,816 and 372,180 is: 774,639.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,816 : 372,180 = 372,180 : x
  2. Step 2: Convert to fraction form
    178,816/372,180 = 372,180/x
  3. Step 3: Cross multiply
    178,816x = 372,180 × 372,180
  4. Step 4: Simplify right side
    178,816x = 138,517,952,400
  5. Step 5: Solve for x
    x = 138,517,952,400/178,816
  6. Step 6: Final answer
    x = 774,639.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.