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Finding the Third Proportional to 179,330 and 378,628

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Solution

The third proportional to 179,330 and 378,628 is: 799,415.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,330 : 378,628 = 378,628 : x
  2. Step 2: Convert to fraction form
    179,330/378,628 = 378,628/x
  3. Step 3: Cross multiply
    179,330x = 378,628 × 378,628
  4. Step 4: Simplify right side
    179,330x = 143,359,162,384
  5. Step 5: Solve for x
    x = 143,359,162,384/179,330
  6. Step 6: Final answer
    x = 799,415.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.