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Finding the Third Proportional to 131,121 and 281,358

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Solution

The third proportional to 131,121 and 281,358 is: 603,734.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,121 : 281,358 = 281,358 : x
  2. Step 2: Convert to fraction form
    131,121/281,358 = 281,358/x
  3. Step 3: Cross multiply
    131,121x = 281,358 × 281,358
  4. Step 4: Simplify right side
    131,121x = 79,162,324,164
  5. Step 5: Solve for x
    x = 79,162,324,164/131,121
  6. Step 6: Final answer
    x = 603,734.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.