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Finding the Third Proportional to 178,779 and 372,255

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Solution

The third proportional to 178,779 and 372,255 is: 775,112.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,779 : 372,255 = 372,255 : x
  2. Step 2: Convert to fraction form
    178,779/372,255 = 372,255/x
  3. Step 3: Cross multiply
    178,779x = 372,255 × 372,255
  4. Step 4: Simplify right side
    178,779x = 138,573,785,025
  5. Step 5: Solve for x
    x = 138,573,785,025/178,779
  6. Step 6: Final answer
    x = 775,112.21

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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.