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Finding the Third Proportional to 275,829 and 421,766

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Solution

The third proportional to 275,829 and 421,766 is: 644,916.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,829 : 421,766 = 421,766 : x
  2. Step 2: Convert to fraction form
    275,829/421,766 = 421,766/x
  3. Step 3: Cross multiply
    275,829x = 421,766 × 421,766
  4. Step 4: Simplify right side
    275,829x = 177,886,558,756
  5. Step 5: Solve for x
    x = 177,886,558,756/275,829
  6. Step 6: Final answer
    x = 644,916.08

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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.