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Finding the Third Proportional to 149,873 and 321,004

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Solution

The third proportional to 149,873 and 321,004 is: 687,539.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,873 : 321,004 = 321,004 : x
  2. Step 2: Convert to fraction form
    149,873/321,004 = 321,004/x
  3. Step 3: Cross multiply
    149,873x = 321,004 × 321,004
  4. Step 4: Simplify right side
    149,873x = 103,043,568,016
  5. Step 5: Solve for x
    x = 103,043,568,016/149,873
  6. Step 6: Final answer
    x = 687,539.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.