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Finding the Third Proportional to 277,679.25 and 405,993.75

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Solution

The third proportional to 277,679.25 and 405,993.75 is: 593,601.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,679.25 : 405,993.75 = 405,993.75 : x
  2. Step 2: Convert to fraction form
    277,679.25/405,993.75 = 405,993.75/x
  3. Step 3: Cross multiply
    277,679.25x = 405,993.75 × 405,993.75
  4. Step 4: Simplify right side
    277,679.25x = 164,830,925,039.06
  5. Step 5: Solve for x
    x = 164,830,925,039.06/277,679.25
  6. Step 6: Final answer
    x = 593,601.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.