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Finding the Third Proportional to 144,378 and 347,821

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Solution

The third proportional to 144,378 and 347,821 is: 837,935.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,378 : 347,821 = 347,821 : x
  2. Step 2: Convert to fraction form
    144,378/347,821 = 347,821/x
  3. Step 3: Cross multiply
    144,378x = 347,821 × 347,821
  4. Step 4: Simplify right side
    144,378x = 120,979,448,041
  5. Step 5: Solve for x
    x = 120,979,448,041/144,378
  6. Step 6: Final answer
    x = 837,935.48

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.