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Finding the Third Proportional to 120,804 and 256,224

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Solution

The third proportional to 120,804 and 256,224 is: 543,448.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,804 : 256,224 = 256,224 : x
  2. Step 2: Convert to fraction form
    120,804/256,224 = 256,224/x
  3. Step 3: Cross multiply
    120,804x = 256,224 × 256,224
  4. Step 4: Simplify right side
    120,804x = 65,650,738,176
  5. Step 5: Solve for x
    x = 65,650,738,176/120,804
  6. Step 6: Final answer
    x = 543,448.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.