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Finding the Third Proportional to 80,974 and 177,890

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Solution

The third proportional to 80,974 and 177,890 is: 390,802.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,974 : 177,890 = 177,890 : x
  2. Step 2: Convert to fraction form
    80,974/177,890 = 177,890/x
  3. Step 3: Cross multiply
    80,974x = 177,890 × 177,890
  4. Step 4: Simplify right side
    80,974x = 31,644,852,100
  5. Step 5: Solve for x
    x = 31,644,852,100/80,974
  6. Step 6: Final answer
    x = 390,802.63

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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.