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Finding the Third Proportional to 129,945 and 282,084

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Solution

The third proportional to 129,945 and 282,084 is: 612,346.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,945 : 282,084 = 282,084 : x
  2. Step 2: Convert to fraction form
    129,945/282,084 = 282,084/x
  3. Step 3: Cross multiply
    129,945x = 282,084 × 282,084
  4. Step 4: Simplify right side
    129,945x = 79,571,383,056
  5. Step 5: Solve for x
    x = 79,571,383,056/129,945
  6. Step 6: Final answer
    x = 612,346.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.