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Finding the Third Proportional to 138,517 and 303,308

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Solution

The third proportional to 138,517 and 303,308 is: 664,147.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,517 : 303,308 = 303,308 : x
  2. Step 2: Convert to fraction form
    138,517/303,308 = 303,308/x
  3. Step 3: Cross multiply
    138,517x = 303,308 × 303,308
  4. Step 4: Simplify right side
    138,517x = 91,995,742,864
  5. Step 5: Solve for x
    x = 91,995,742,864/138,517
  6. Step 6: Final answer
    x = 664,147.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.