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Finding the Third Proportional to 275,848 and 421,788

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Solution

The third proportional to 275,848 and 421,788 is: 644,938.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,848 : 421,788 = 421,788 : x
  2. Step 2: Convert to fraction form
    275,848/421,788 = 421,788/x
  3. Step 3: Cross multiply
    275,848x = 421,788 × 421,788
  4. Step 4: Simplify right side
    275,848x = 177,905,116,944
  5. Step 5: Solve for x
    x = 177,905,116,944/275,848
  6. Step 6: Final answer
    x = 644,938.94

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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.