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Finding the Third Proportional to 177,380 and 280,824

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Solution

The third proportional to 177,380 and 280,824 is: 444,594.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,380 : 280,824 = 280,824 : x
  2. Step 2: Convert to fraction form
    177,380/280,824 = 280,824/x
  3. Step 3: Cross multiply
    177,380x = 280,824 × 280,824
  4. Step 4: Simplify right side
    177,380x = 78,862,118,976
  5. Step 5: Solve for x
    x = 78,862,118,976/177,380
  6. Step 6: Final answer
    x = 444,594.20

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.