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Finding the Third Proportional to 277,627.50 and 419,858.44

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Solution

The third proportional to 277,627.50 and 419,858.44 is: 634,955.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,627.50 : 419,858.44 = 419,858.44 : x
  2. Step 2: Convert to fraction form
    277,627.50/419,858.44 = 419,858.44/x
  3. Step 3: Cross multiply
    277,627.50x = 419,858.44 × 419,858.44
  4. Step 4: Simplify right side
    277,627.50x = 176,281,107,539.94
  5. Step 5: Solve for x
    x = 176,281,107,539.94/277,627.50
  6. Step 6: Final answer
    x = 634,955.50

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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.