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Finding the Third Proportional to 118,696.50 and 280,197

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Solution

The third proportional to 118,696.50 and 280,197 is: 661,437.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,696.50 : 280,197 = 280,197 : x
  2. Step 2: Convert to fraction form
    118,696.50/280,197 = 280,197/x
  3. Step 3: Cross multiply
    118,696.50x = 280,197 × 280,197
  4. Step 4: Simplify right side
    118,696.50x = 78,510,358,809
  5. Step 5: Solve for x
    x = 78,510,358,809/118,696.50
  6. Step 6: Final answer
    x = 661,437.86

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