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Finding the Third Proportional to 259,997.50 and 391,840.75

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Solution

The third proportional to 259,997.50 and 391,840.75 is: 590,540.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,997.50 : 391,840.75 = 391,840.75 : x
  2. Step 2: Convert to fraction form
    259,997.50/391,840.75 = 391,840.75/x
  3. Step 3: Cross multiply
    259,997.50x = 391,840.75 × 391,840.75
  4. Step 4: Simplify right side
    259,997.50x = 153,539,173,360.56
  5. Step 5: Solve for x
    x = 153,539,173,360.56/259,997.50
  6. Step 6: Final answer
    x = 590,540.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.