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Finding the Third Proportional to 126,621 and 274,329

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Solution

The third proportional to 126,621 and 274,329 is: 594,343.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,621 : 274,329 = 274,329 : x
  2. Step 2: Convert to fraction form
    126,621/274,329 = 274,329/x
  3. Step 3: Cross multiply
    126,621x = 274,329 × 274,329
  4. Step 4: Simplify right side
    126,621x = 75,256,400,241
  5. Step 5: Solve for x
    x = 75,256,400,241/126,621
  6. Step 6: Final answer
    x = 594,343.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.