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Finding the Third Proportional to 80,980 and 177,904

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Solution

The third proportional to 80,980 and 177,904 is: 390,835.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,980 : 177,904 = 177,904 : x
  2. Step 2: Convert to fraction form
    80,980/177,904 = 177,904/x
  3. Step 3: Cross multiply
    80,980x = 177,904 × 177,904
  4. Step 4: Simplify right side
    80,980x = 31,649,833,216
  5. Step 5: Solve for x
    x = 31,649,833,216/80,980
  6. Step 6: Final answer
    x = 390,835.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.