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Finding the Third Proportional to 258,716.75 and 392,449.25

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Solution

The third proportional to 258,716.75 and 392,449.25 is: 595,309.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,716.75 : 392,449.25 = 392,449.25 : x
  2. Step 2: Convert to fraction form
    258,716.75/392,449.25 = 392,449.25/x
  3. Step 3: Cross multiply
    258,716.75x = 392,449.25 × 392,449.25
  4. Step 4: Simplify right side
    258,716.75x = 154,016,413,825.56
  5. Step 5: Solve for x
    x = 154,016,413,825.56/258,716.75
  6. Step 6: Final answer
    x = 595,309.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.