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Finding the Third Proportional to 120,936 and 282,405

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Solution

The third proportional to 120,936 and 282,405 is: 659,461.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,936 : 282,405 = 282,405 : x
  2. Step 2: Convert to fraction form
    120,936/282,405 = 282,405/x
  3. Step 3: Cross multiply
    120,936x = 282,405 × 282,405
  4. Step 4: Simplify right side
    120,936x = 79,752,584,025
  5. Step 5: Solve for x
    x = 79,752,584,025/120,936
  6. Step 6: Final answer
    x = 659,461.07

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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.