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Finding the Third Proportional to 149,869 and 320,996

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Solution

The third proportional to 149,869 and 320,996 is: 687,523.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,869 : 320,996 = 320,996 : x
  2. Step 2: Convert to fraction form
    149,869/320,996 = 320,996/x
  3. Step 3: Cross multiply
    149,869x = 320,996 × 320,996
  4. Step 4: Simplify right side
    149,869x = 103,038,432,016
  5. Step 5: Solve for x
    x = 103,038,432,016/149,869
  6. Step 6: Final answer
    x = 687,523.32

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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.