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Finding the Third Proportional to 120,811.50 and 259,119

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Solution

The third proportional to 120,811.50 and 259,119 is: 555,763.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,811.50 : 259,119 = 259,119 : x
  2. Step 2: Convert to fraction form
    120,811.50/259,119 = 259,119/x
  3. Step 3: Cross multiply
    120,811.50x = 259,119 × 259,119
  4. Step 4: Simplify right side
    120,811.50x = 67,142,656,161
  5. Step 5: Solve for x
    x = 67,142,656,161/120,811.50
  6. Step 6: Final answer
    x = 555,763.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.