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Finding the Third Proportional to 189,752 and 421,520

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Solution

The third proportional to 189,752 and 421,520 is: 936,375.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,752 : 421,520 = 421,520 : x
  2. Step 2: Convert to fraction form
    189,752/421,520 = 421,520/x
  3. Step 3: Cross multiply
    189,752x = 421,520 × 421,520
  4. Step 4: Simplify right side
    189,752x = 177,679,110,400
  5. Step 5: Solve for x
    x = 177,679,110,400/189,752
  6. Step 6: Final answer
    x = 936,375.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.