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Finding the Third Proportional to 295,611 and 670,137

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Solution

The third proportional to 295,611 and 670,137 is: 1,519,170.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,611 : 670,137 = 670,137 : x
  2. Step 2: Convert to fraction form
    295,611/670,137 = 670,137/x
  3. Step 3: Cross multiply
    295,611x = 670,137 × 670,137
  4. Step 4: Simplify right side
    295,611x = 449,083,598,769
  5. Step 5: Solve for x
    x = 449,083,598,769/295,611
  6. Step 6: Final answer
    x = 1,519,170.80

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.