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Finding the Third Proportional to 191,847 and 421,764

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Solution

The third proportional to 191,847 and 421,764 is: 927,222.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,847 : 421,764 = 421,764 : x
  2. Step 2: Convert to fraction form
    191,847/421,764 = 421,764/x
  3. Step 3: Cross multiply
    191,847x = 421,764 × 421,764
  4. Step 4: Simplify right side
    191,847x = 177,884,871,696
  5. Step 5: Solve for x
    x = 177,884,871,696/191,847
  6. Step 6: Final answer
    x = 927,222.59

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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.