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Finding the Third Proportional to 120,697.50 and 256,986.75

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Solution

The third proportional to 120,697.50 and 256,986.75 is: 547,171.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,697.50 : 256,986.75 = 256,986.75 : x
  2. Step 2: Convert to fraction form
    120,697.50/256,986.75 = 256,986.75/x
  3. Step 3: Cross multiply
    120,697.50x = 256,986.75 × 256,986.75
  4. Step 4: Simplify right side
    120,697.50x = 66,042,189,675.56
  5. Step 5: Solve for x
    x = 66,042,189,675.56/120,697.50
  6. Step 6: Final answer
    x = 547,171.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.