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Finding the Third Proportional to 275,956 and 421,854

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Solution

The third proportional to 275,956 and 421,854 is: 644,888.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,956 : 421,854 = 421,854 : x
  2. Step 2: Convert to fraction form
    275,956/421,854 = 421,854/x
  3. Step 3: Cross multiply
    275,956x = 421,854 × 421,854
  4. Step 4: Simplify right side
    275,956x = 177,960,797,316
  5. Step 5: Solve for x
    x = 177,960,797,316/275,956
  6. Step 6: Final answer
    x = 644,888.31

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