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Finding the Third Proportional to 312,667 and 475,319

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Solution

The third proportional to 312,667 and 475,319 is: 722,583.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,667 : 475,319 = 475,319 : x
  2. Step 2: Convert to fraction form
    312,667/475,319 = 475,319/x
  3. Step 3: Cross multiply
    312,667x = 475,319 × 475,319
  4. Step 4: Simplify right side
    312,667x = 225,928,151,761
  5. Step 5: Solve for x
    x = 225,928,151,761/312,667
  6. Step 6: Final answer
    x = 722,583.94

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