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Finding the Third Proportional to 325,869 and 490,887

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Solution

The third proportional to 325,869 and 490,887 is: 739,469.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,869 : 490,887 = 490,887 : x
  2. Step 2: Convert to fraction form
    325,869/490,887 = 490,887/x
  3. Step 3: Cross multiply
    325,869x = 490,887 × 490,887
  4. Step 4: Simplify right side
    325,869x = 240,970,046,769
  5. Step 5: Solve for x
    x = 240,970,046,769/325,869
  6. Step 6: Final answer
    x = 739,469.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.