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Finding the Third Proportional to 129,098 and 283,756

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Solution

The third proportional to 129,098 and 283,756 is: 623,692.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,098 : 283,756 = 283,756 : x
  2. Step 2: Convert to fraction form
    129,098/283,756 = 283,756/x
  3. Step 3: Cross multiply
    129,098x = 283,756 × 283,756
  4. Step 4: Simplify right side
    129,098x = 80,517,467,536
  5. Step 5: Solve for x
    x = 80,517,467,536/129,098
  6. Step 6: Final answer
    x = 623,692.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.