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Finding the Third Proportional to 275,852 and 421,806

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Solution

The third proportional to 275,852 and 421,806 is: 644,984.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,852 : 421,806 = 421,806 : x
  2. Step 2: Convert to fraction form
    275,852/421,806 = 421,806/x
  3. Step 3: Cross multiply
    275,852x = 421,806 × 421,806
  4. Step 4: Simplify right side
    275,852x = 177,920,301,636
  5. Step 5: Solve for x
    x = 177,920,301,636/275,852
  6. Step 6: Final answer
    x = 644,984.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.