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Finding the Third Proportional to 275,836 and 421,774

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Solution

The third proportional to 275,836 and 421,774 is: 644,924.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,836 : 421,774 = 421,774 : x
  2. Step 2: Convert to fraction form
    275,836/421,774 = 421,774/x
  3. Step 3: Cross multiply
    275,836x = 421,774 × 421,774
  4. Step 4: Simplify right side
    275,836x = 177,893,307,076
  5. Step 5: Solve for x
    x = 177,893,307,076/275,836
  6. Step 6: Final answer
    x = 644,924.18

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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.