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Finding the Third Proportional to 129,162.38 and 280,736.63

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Solution

The third proportional to 129,162.38 and 280,736.63 is: 610,185.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,162.38 : 280,736.63 = 280,736.63 : x
  2. Step 2: Convert to fraction form
    129,162.38/280,736.63 = 280,736.63/x
  3. Step 3: Cross multiply
    129,162.38x = 280,736.63 × 280,736.63
  4. Step 4: Simplify right side
    129,162.38x = 78,813,052,616.39
  5. Step 5: Solve for x
    x = 78,813,052,616.39/129,162.38
  6. Step 6: Final answer
    x = 610,185.84

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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.