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Finding the Third Proportional to 277,816.50 and 422,718.75

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Solution

The third proportional to 277,816.50 and 422,718.75 is: 643,198.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,816.50 : 422,718.75 = 422,718.75 : x
  2. Step 2: Convert to fraction form
    277,816.50/422,718.75 = 422,718.75/x
  3. Step 3: Cross multiply
    277,816.50x = 422,718.75 × 422,718.75
  4. Step 4: Simplify right side
    277,816.50x = 178,691,141,601.56
  5. Step 5: Solve for x
    x = 178,691,141,601.56/277,816.50
  6. Step 6: Final answer
    x = 643,198.45

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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.