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Finding the Third Proportional to 131,138 and 281,389

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Solution

The third proportional to 131,138 and 281,389 is: 603,789.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,138 : 281,389 = 281,389 : x
  2. Step 2: Convert to fraction form
    131,138/281,389 = 281,389/x
  3. Step 3: Cross multiply
    131,138x = 281,389 × 281,389
  4. Step 4: Simplify right side
    131,138x = 79,179,769,321
  5. Step 5: Solve for x
    x = 79,179,769,321/131,138
  6. Step 6: Final answer
    x = 603,789.67

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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.