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Finding the Third Proportional to 274,533 and 641,378

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Solution

The third proportional to 274,533 and 641,378 is: 1,498,420.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,533 : 641,378 = 641,378 : x
  2. Step 2: Convert to fraction form
    274,533/641,378 = 641,378/x
  3. Step 3: Cross multiply
    274,533x = 641,378 × 641,378
  4. Step 4: Simplify right side
    274,533x = 411,365,738,884
  5. Step 5: Solve for x
    x = 411,365,738,884/274,533
  6. Step 6: Final answer
    x = 1,498,420.00

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.