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Finding the Third Proportional to 120,222.56 and 258,533.44

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Solution

The third proportional to 120,222.56 and 258,533.44 is: 555,965.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,222.56 : 258,533.44 = 258,533.44 : x
  2. Step 2: Convert to fraction form
    120,222.56/258,533.44 = 258,533.44/x
  3. Step 3: Cross multiply
    120,222.56x = 258,533.44 × 258,533.44
  4. Step 4: Simplify right side
    120,222.56x = 66,839,538,305.57
  5. Step 5: Solve for x
    x = 66,839,538,305.57/120,222.56
  6. Step 6: Final answer
    x = 555,965.01

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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.