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Finding the Third Proportional to 310,869 and 681,003

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Solution

The third proportional to 310,869 and 681,003 is: 1,491,834.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,869 : 681,003 = 681,003 : x
  2. Step 2: Convert to fraction form
    310,869/681,003 = 681,003/x
  3. Step 3: Cross multiply
    310,869x = 681,003 × 681,003
  4. Step 4: Simplify right side
    310,869x = 463,765,086,009
  5. Step 5: Solve for x
    x = 463,765,086,009/310,869
  6. Step 6: Final answer
    x = 1,491,834.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.