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Finding the Third Proportional to 336,378 and 519,439

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Solution

The third proportional to 336,378 and 519,439 is: 802,124.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,378 : 519,439 = 519,439 : x
  2. Step 2: Convert to fraction form
    336,378/519,439 = 519,439/x
  3. Step 3: Cross multiply
    336,378x = 519,439 × 519,439
  4. Step 4: Simplify right side
    336,378x = 269,816,874,721
  5. Step 5: Solve for x
    x = 269,816,874,721/336,378
  6. Step 6: Final answer
    x = 802,124.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.