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Finding the Third Proportional to 259,231.50 and 396,739.50

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Solution

The third proportional to 259,231.50 and 396,739.50 is: 607,187.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,231.50 : 396,739.50 = 396,739.50 : x
  2. Step 2: Convert to fraction form
    259,231.50/396,739.50 = 396,739.50/x
  3. Step 3: Cross multiply
    259,231.50x = 396,739.50 × 396,739.50
  4. Step 4: Simplify right side
    259,231.50x = 157,402,230,860.25
  5. Step 5: Solve for x
    x = 157,402,230,860.25/259,231.50
  6. Step 6: Final answer
    x = 607,187.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.