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Finding the Third Proportional to 225,072 and 324,648

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Solution

The third proportional to 225,072 and 324,648 is: 468,278.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,072 : 324,648 = 324,648 : x
  2. Step 2: Convert to fraction form
    225,072/324,648 = 324,648/x
  3. Step 3: Cross multiply
    225,072x = 324,648 × 324,648
  4. Step 4: Simplify right side
    225,072x = 105,396,323,904
  5. Step 5: Solve for x
    x = 105,396,323,904/225,072
  6. Step 6: Final answer
    x = 468,278.26

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.