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Finding the Third Proportional to 129,763 and 281,558

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Solution

The third proportional to 129,763 and 281,558 is: 610,920.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,763 : 281,558 = 281,558 : x
  2. Step 2: Convert to fraction form
    129,763/281,558 = 281,558/x
  3. Step 3: Cross multiply
    129,763x = 281,558 × 281,558
  4. Step 4: Simplify right side
    129,763x = 79,274,907,364
  5. Step 5: Solve for x
    x = 79,274,907,364/129,763
  6. Step 6: Final answer
    x = 610,920.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.