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Finding the Third Proportional to 150,556 and 220,179

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Solution

The third proportional to 150,556 and 220,179 is: 321,998.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,556 : 220,179 = 220,179 : x
  2. Step 2: Convert to fraction form
    150,556/220,179 = 220,179/x
  3. Step 3: Cross multiply
    150,556x = 220,179 × 220,179
  4. Step 4: Simplify right side
    150,556x = 48,478,792,041
  5. Step 5: Solve for x
    x = 48,478,792,041/150,556
  6. Step 6: Final answer
    x = 321,998.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.