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Finding the Third Proportional to 191,851 and 421,772

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Solution

The third proportional to 191,851 and 421,772 is: 927,238.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,851 : 421,772 = 421,772 : x
  2. Step 2: Convert to fraction form
    191,851/421,772 = 421,772/x
  3. Step 3: Cross multiply
    191,851x = 421,772 × 421,772
  4. Step 4: Simplify right side
    191,851x = 177,891,619,984
  5. Step 5: Solve for x
    x = 177,891,619,984/191,851
  6. Step 6: Final answer
    x = 927,238.43

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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.