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Finding the Third Proportional to 275,817.66 and 421,749.28

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Solution

The third proportional to 275,817.66 and 421,749.28 is: 644,891.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,817.66 : 421,749.28 = 421,749.28 : x
  2. Step 2: Convert to fraction form
    275,817.66/421,749.28 = 421,749.28/x
  3. Step 3: Cross multiply
    275,817.66x = 421,749.28 × 421,749.28
  4. Step 4: Simplify right side
    275,817.66x = 177,872,456,234.89
  5. Step 5: Solve for x
    x = 177,872,456,234.89/275,817.66
  6. Step 6: Final answer
    x = 644,891.48

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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.