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Finding the Third Proportional to 279,611 and 608,374

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Solution

The third proportional to 279,611 and 608,374 is: 1,323,692.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,611 : 608,374 = 608,374 : x
  2. Step 2: Convert to fraction form
    279,611/608,374 = 608,374/x
  3. Step 3: Cross multiply
    279,611x = 608,374 × 608,374
  4. Step 4: Simplify right side
    279,611x = 370,118,923,876
  5. Step 5: Solve for x
    x = 370,118,923,876/279,611
  6. Step 6: Final answer
    x = 1,323,692.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.