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Finding the Third Proportional to 149,698 and 328,916

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Solution

The third proportional to 149,698 and 328,916 is: 722,693.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,698 : 328,916 = 328,916 : x
  2. Step 2: Convert to fraction form
    149,698/328,916 = 328,916/x
  3. Step 3: Cross multiply
    149,698x = 328,916 × 328,916
  4. Step 4: Simplify right side
    149,698x = 108,185,735,056
  5. Step 5: Solve for x
    x = 108,185,735,056/149,698
  6. Step 6: Final answer
    x = 722,693.26

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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.