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Finding the Third Proportional to 174,870 and 221,825

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Solution

The third proportional to 174,870 and 221,825 is: 281,388.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,870 : 221,825 = 221,825 : x
  2. Step 2: Convert to fraction form
    174,870/221,825 = 221,825/x
  3. Step 3: Cross multiply
    174,870x = 221,825 × 221,825
  4. Step 4: Simplify right side
    174,870x = 49,206,330,625
  5. Step 5: Solve for x
    x = 49,206,330,625/174,870
  6. Step 6: Final answer
    x = 281,388.06

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.