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Finding the Third Proportional to 259,178.75 and 405,697.75

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Solution

The third proportional to 259,178.75 and 405,697.75 is: 635,046.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,178.75 : 405,697.75 = 405,697.75 : x
  2. Step 2: Convert to fraction form
    259,178.75/405,697.75 = 405,697.75/x
  3. Step 3: Cross multiply
    259,178.75x = 405,697.75 × 405,697.75
  4. Step 4: Simplify right side
    259,178.75x = 164,590,664,355.06
  5. Step 5: Solve for x
    x = 164,590,664,355.06/259,178.75
  6. Step 6: Final answer
    x = 635,046.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.