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Finding the Third Proportional to 149,406.75 and 323,721

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Solution

The third proportional to 149,406.75 and 323,721 is: 701,409.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,406.75 : 323,721 = 323,721 : x
  2. Step 2: Convert to fraction form
    149,406.75/323,721 = 323,721/x
  3. Step 3: Cross multiply
    149,406.75x = 323,721 × 323,721
  4. Step 4: Simplify right side
    149,406.75x = 104,795,285,841
  5. Step 5: Solve for x
    x = 104,795,285,841/149,406.75
  6. Step 6: Final answer
    x = 701,409.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.