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Finding the Third Proportional to 120,384.75 and 259,716

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Solution

The third proportional to 120,384.75 and 259,716 is: 560,306.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,384.75 : 259,716 = 259,716 : x
  2. Step 2: Convert to fraction form
    120,384.75/259,716 = 259,716/x
  3. Step 3: Cross multiply
    120,384.75x = 259,716 × 259,716
  4. Step 4: Simplify right side
    120,384.75x = 67,452,400,656
  5. Step 5: Solve for x
    x = 67,452,400,656/120,384.75
  6. Step 6: Final answer
    x = 560,306.85

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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.