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Finding the Third Proportional to 279,430 and 419,164

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Solution

The third proportional to 279,430 and 419,164 is: 628,774.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,430 : 419,164 = 419,164 : x
  2. Step 2: Convert to fraction form
    279,430/419,164 = 419,164/x
  3. Step 3: Cross multiply
    279,430x = 419,164 × 419,164
  4. Step 4: Simplify right side
    279,430x = 175,698,458,896
  5. Step 5: Solve for x
    x = 175,698,458,896/279,430
  6. Step 6: Final answer
    x = 628,774.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.