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Finding the Third Proportional to 259,679.81 and 398,899.97

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Solution

The third proportional to 259,679.81 and 398,899.97 is: 612,759.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,679.81 : 398,899.97 = 398,899.97 : x
  2. Step 2: Convert to fraction form
    259,679.81/398,899.97 = 398,899.97/x
  3. Step 3: Cross multiply
    259,679.81x = 398,899.97 × 398,899.97
  4. Step 4: Simplify right side
    259,679.81x = 159,121,185,068.75
  5. Step 5: Solve for x
    x = 159,121,185,068.75/259,679.81
  6. Step 6: Final answer
    x = 612,759.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.