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Finding the Third Proportional to 312,660 and 475,308

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Solution

The third proportional to 312,660 and 475,308 is: 722,566.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,660 : 475,308 = 475,308 : x
  2. Step 2: Convert to fraction form
    312,660/475,308 = 475,308/x
  3. Step 3: Cross multiply
    312,660x = 475,308 × 475,308
  4. Step 4: Simplify right side
    312,660x = 225,917,694,864
  5. Step 5: Solve for x
    x = 225,917,694,864/312,660
  6. Step 6: Final answer
    x = 722,566.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.