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Finding the Third Proportional to 118,865.81 and 280,310.06

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Solution

The third proportional to 118,865.81 and 280,310.06 is: 661,028.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,865.81 : 280,310.06 = 280,310.06 : x
  2. Step 2: Convert to fraction form
    118,865.81/280,310.06 = 280,310.06/x
  3. Step 3: Cross multiply
    118,865.81x = 280,310.06 × 280,310.06
  4. Step 4: Simplify right side
    118,865.81x = 78,573,731,138.75
  5. Step 5: Solve for x
    x = 78,573,731,138.75/118,865.81
  6. Step 6: Final answer
    x = 661,028.85

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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.