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Finding the Third Proportional to 143,178 and 220,176

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Solution

The third proportional to 143,178 and 220,176 is: 338,581.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,178 : 220,176 = 220,176 : x
  2. Step 2: Convert to fraction form
    143,178/220,176 = 220,176/x
  3. Step 3: Cross multiply
    143,178x = 220,176 × 220,176
  4. Step 4: Simplify right side
    143,178x = 48,477,470,976
  5. Step 5: Solve for x
    x = 48,477,470,976/143,178
  6. Step 6: Final answer
    x = 338,581.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.