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Finding the Third Proportional to 138,289.50 and 305,698.50

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Solution

The third proportional to 138,289.50 and 305,698.50 is: 675,767.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,289.50 : 305,698.50 = 305,698.50 : x
  2. Step 2: Convert to fraction form
    138,289.50/305,698.50 = 305,698.50/x
  3. Step 3: Cross multiply
    138,289.50x = 305,698.50 × 305,698.50
  4. Step 4: Simplify right side
    138,289.50x = 93,451,572,902.25
  5. Step 5: Solve for x
    x = 93,451,572,902.25/138,289.50
  6. Step 6: Final answer
    x = 675,767.67

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.