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Finding the Third Proportional to 305,976 and 666,388

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Solution

The third proportional to 305,976 and 666,388 is: 1,451,332.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,976 : 666,388 = 666,388 : x
  2. Step 2: Convert to fraction form
    305,976/666,388 = 666,388/x
  3. Step 3: Cross multiply
    305,976x = 666,388 × 666,388
  4. Step 4: Simplify right side
    305,976x = 444,072,966,544
  5. Step 5: Solve for x
    x = 444,072,966,544/305,976
  6. Step 6: Final answer
    x = 1,451,332.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.