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Finding the Third Proportional to 225,486 and 485,856

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Solution

The third proportional to 225,486 and 485,856 is: 1,046,876.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,486 : 485,856 = 485,856 : x
  2. Step 2: Convert to fraction form
    225,486/485,856 = 485,856/x
  3. Step 3: Cross multiply
    225,486x = 485,856 × 485,856
  4. Step 4: Simplify right side
    225,486x = 236,056,052,736
  5. Step 5: Solve for x
    x = 236,056,052,736/225,486
  6. Step 6: Final answer
    x = 1,046,876.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.