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Finding the Third Proportional to 275,574 and 421,563

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Solution

The third proportional to 275,574 and 421,563 is: 644,891.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,574 : 421,563 = 421,563 : x
  2. Step 2: Convert to fraction form
    275,574/421,563 = 421,563/x
  3. Step 3: Cross multiply
    275,574x = 421,563 × 421,563
  4. Step 4: Simplify right side
    275,574x = 177,715,362,969
  5. Step 5: Solve for x
    x = 177,715,362,969/275,574
  6. Step 6: Final answer
    x = 644,891.62

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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.