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Finding the Third Proportional to 126,144 and 274,688

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Solution

The third proportional to 126,144 and 274,688 is: 598,153.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,144 : 274,688 = 274,688 : x
  2. Step 2: Convert to fraction form
    126,144/274,688 = 274,688/x
  3. Step 3: Cross multiply
    126,144x = 274,688 × 274,688
  4. Step 4: Simplify right side
    126,144x = 75,453,497,344
  5. Step 5: Solve for x
    x = 75,453,497,344/126,144
  6. Step 6: Final answer
    x = 598,153.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.