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Finding the Third Proportional to 118,866.94 and 280,313.72

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Solution

The third proportional to 118,866.94 and 280,313.72 is: 661,039.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,866.94 : 280,313.72 = 280,313.72 : x
  2. Step 2: Convert to fraction form
    118,866.94/280,313.72 = 280,313.72/x
  3. Step 3: Cross multiply
    118,866.94x = 280,313.72 × 280,313.72
  4. Step 4: Simplify right side
    118,866.94x = 78,575,780,919.45
  5. Step 5: Solve for x
    x = 78,575,780,919.45/118,866.94
  6. Step 6: Final answer
    x = 661,039.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.