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Finding the Third Proportional to 354,576 and 768,228

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Solution

The third proportional to 354,576 and 768,228 is: 1,664,450.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,576 : 768,228 = 768,228 : x
  2. Step 2: Convert to fraction form
    354,576/768,228 = 768,228/x
  3. Step 3: Cross multiply
    354,576x = 768,228 × 768,228
  4. Step 4: Simplify right side
    354,576x = 590,174,259,984
  5. Step 5: Solve for x
    x = 590,174,259,984/354,576
  6. Step 6: Final answer
    x = 1,664,450.67

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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.