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Finding the Third Proportional to 120,189.75 and 259,419.38

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Solution

The third proportional to 120,189.75 and 259,419.38 is: 559,934.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,189.75 : 259,419.38 = 259,419.38 : x
  2. Step 2: Convert to fraction form
    120,189.75/259,419.38 = 259,419.38/x
  3. Step 3: Cross multiply
    120,189.75x = 259,419.38 × 259,419.38
  4. Step 4: Simplify right side
    120,189.75x = 67,298,412,125.39
  5. Step 5: Solve for x
    x = 67,298,412,125.39/120,189.75
  6. Step 6: Final answer
    x = 559,934.70

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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.