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Finding the Third Proportional to 149,824 and 329,780

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Solution

The third proportional to 149,824 and 329,780 is: 725,884.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,824 : 329,780 = 329,780 : x
  2. Step 2: Convert to fraction form
    149,824/329,780 = 329,780/x
  3. Step 3: Cross multiply
    149,824x = 329,780 × 329,780
  4. Step 4: Simplify right side
    149,824x = 108,754,848,400
  5. Step 5: Solve for x
    x = 108,754,848,400/149,824
  6. Step 6: Final answer
    x = 725,884.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.