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Finding the Third Proportional to 325,847.81 and 681,489.28

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Solution

The third proportional to 325,847.81 and 681,489.28 is: 1,425,290.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,847.81 : 681,489.28 = 681,489.28 : x
  2. Step 2: Convert to fraction form
    325,847.81/681,489.28 = 681,489.28/x
  3. Step 3: Cross multiply
    325,847.81x = 681,489.28 × 681,489.28
  4. Step 4: Simplify right side
    325,847.81x = 464,427,640,458.64
  5. Step 5: Solve for x
    x = 464,427,640,458.64/325,847.81
  6. Step 6: Final answer
    x = 1,425,290.04

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.