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Finding the Third Proportional to 149,419 and 320,981

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Solution

The third proportional to 149,419 and 320,981 is: 689,529.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,419 : 320,981 = 320,981 : x
  2. Step 2: Convert to fraction form
    149,419/320,981 = 320,981/x
  3. Step 3: Cross multiply
    149,419x = 320,981 × 320,981
  4. Step 4: Simplify right side
    149,419x = 103,028,802,361
  5. Step 5: Solve for x
    x = 103,028,802,361/149,419
  6. Step 6: Final answer
    x = 689,529.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.