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Finding the Third Proportional to 149,867 and 320,992

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Solution

The third proportional to 149,867 and 320,992 is: 687,515.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,867 : 320,992 = 320,992 : x
  2. Step 2: Convert to fraction form
    149,867/320,992 = 320,992/x
  3. Step 3: Cross multiply
    149,867x = 320,992 × 320,992
  4. Step 4: Simplify right side
    149,867x = 103,035,864,064
  5. Step 5: Solve for x
    x = 103,035,864,064/149,867
  6. Step 6: Final answer
    x = 687,515.36

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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.