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Finding the Third Proportional to 120,372.75 and 259,416

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Solution

The third proportional to 120,372.75 and 259,416 is: 559,068.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,372.75 : 259,416 = 259,416 : x
  2. Step 2: Convert to fraction form
    120,372.75/259,416 = 259,416/x
  3. Step 3: Cross multiply
    120,372.75x = 259,416 × 259,416
  4. Step 4: Simplify right side
    120,372.75x = 67,296,661,056
  5. Step 5: Solve for x
    x = 67,296,661,056/120,372.75
  6. Step 6: Final answer
    x = 559,068.90

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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.