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Finding the Third Proportional to 280,608.05 and 617,265.56

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Solution

The third proportional to 280,608.05 and 617,265.56 is: 1,357,825.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,608.05 : 617,265.56 = 617,265.56 : x
  2. Step 2: Convert to fraction form
    280,608.05/617,265.56 = 617,265.56/x
  3. Step 3: Cross multiply
    280,608.05x = 617,265.56 × 617,265.56
  4. Step 4: Simplify right side
    280,608.05x = 381,016,774,648.44
  5. Step 5: Solve for x
    x = 381,016,774,648.44/280,608.05
  6. Step 6: Final answer
    x = 1,357,825.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.