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Finding the Third Proportional to 275,870 and 421,829

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Solution

The third proportional to 275,870 and 421,829 is: 645,012.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,870 : 421,829 = 421,829 : x
  2. Step 2: Convert to fraction form
    275,870/421,829 = 421,829/x
  3. Step 3: Cross multiply
    275,870x = 421,829 × 421,829
  4. Step 4: Simplify right side
    275,870x = 177,939,705,241
  5. Step 5: Solve for x
    x = 177,939,705,241/275,870
  6. Step 6: Final answer
    x = 645,012.89

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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.