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Finding the Third Proportional to 120,930.50 and 282,393

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Solution

The third proportional to 120,930.50 and 282,393 is: 659,435.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,930.50 : 282,393 = 282,393 : x
  2. Step 2: Convert to fraction form
    120,930.50/282,393 = 282,393/x
  3. Step 3: Cross multiply
    120,930.50x = 282,393 × 282,393
  4. Step 4: Simplify right side
    120,930.50x = 79,745,806,449
  5. Step 5: Solve for x
    x = 79,745,806,449/120,930.50
  6. Step 6: Final answer
    x = 659,435.02

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.