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Finding the Third Proportional to 135,445.50 and 280,449

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Solution

The third proportional to 135,445.50 and 280,449 is: 580,688.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,445.50 : 280,449 = 280,449 : x
  2. Step 2: Convert to fraction form
    135,445.50/280,449 = 280,449/x
  3. Step 3: Cross multiply
    135,445.50x = 280,449 × 280,449
  4. Step 4: Simplify right side
    135,445.50x = 78,651,641,601
  5. Step 5: Solve for x
    x = 78,651,641,601/135,445.50
  6. Step 6: Final answer
    x = 580,688.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.