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Finding the Third Proportional to 235,816 and 485,456

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Solution

The third proportional to 235,816 and 485,456 is: 999,370.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,816 : 485,456 = 485,456 : x
  2. Step 2: Convert to fraction form
    235,816/485,456 = 485,456/x
  3. Step 3: Cross multiply
    235,816x = 485,456 × 485,456
  4. Step 4: Simplify right side
    235,816x = 235,667,527,936
  5. Step 5: Solve for x
    x = 235,667,527,936/235,816
  6. Step 6: Final answer
    x = 999,370.39

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.