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Finding the Third Proportional to 120,190.50 and 259,421.25

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Solution

The third proportional to 120,190.50 and 259,421.25 is: 559,939.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,190.50 : 259,421.25 = 259,421.25 : x
  2. Step 2: Convert to fraction form
    120,190.50/259,421.25 = 259,421.25/x
  3. Step 3: Cross multiply
    120,190.50x = 259,421.25 × 259,421.25
  4. Step 4: Simplify right side
    120,190.50x = 67,299,384,951.56
  5. Step 5: Solve for x
    x = 67,299,384,951.56/120,190.50
  6. Step 6: Final answer
    x = 559,939.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.