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Finding the Third Proportional to 213,520 and 494,240

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Solution

The third proportional to 213,520 and 494,240 is: 1,144,029.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,520 : 494,240 = 494,240 : x
  2. Step 2: Convert to fraction form
    213,520/494,240 = 494,240/x
  3. Step 3: Cross multiply
    213,520x = 494,240 × 494,240
  4. Step 4: Simplify right side
    213,520x = 244,273,177,600
  5. Step 5: Solve for x
    x = 244,273,177,600/213,520
  6. Step 6: Final answer
    x = 1,144,029.49

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.