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Finding the Third Proportional to 277,821 and 422,725.50

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Solution

The third proportional to 277,821 and 422,725.50 is: 643,208.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,821 : 422,725.50 = 422,725.50 : x
  2. Step 2: Convert to fraction form
    277,821/422,725.50 = 422,725.50/x
  3. Step 3: Cross multiply
    277,821x = 422,725.50 × 422,725.50
  4. Step 4: Simplify right side
    277,821x = 178,696,848,350.25
  5. Step 5: Solve for x
    x = 178,696,848,350.25/277,821
  6. Step 6: Final answer
    x = 643,208.57

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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.