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Finding the Third Proportional to 275,840 and 421,783

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Solution

The third proportional to 275,840 and 421,783 is: 644,942.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,840 : 421,783 = 421,783 : x
  2. Step 2: Convert to fraction form
    275,840/421,783 = 421,783/x
  3. Step 3: Cross multiply
    275,840x = 421,783 × 421,783
  4. Step 4: Simplify right side
    275,840x = 177,900,899,089
  5. Step 5: Solve for x
    x = 177,900,899,089/275,840
  6. Step 6: Final answer
    x = 644,942.35

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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.