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Finding the Third Proportional to 263,490 and 394,515

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Solution

The third proportional to 263,490 and 394,515 is: 590,694.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,490 : 394,515 = 394,515 : x
  2. Step 2: Convert to fraction form
    263,490/394,515 = 394,515/x
  3. Step 3: Cross multiply
    263,490x = 394,515 × 394,515
  4. Step 4: Simplify right side
    263,490x = 155,642,085,225
  5. Step 5: Solve for x
    x = 155,642,085,225/263,490
  6. Step 6: Final answer
    x = 590,694.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.