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Finding the Third Proportional to 280,415.06 and 616,902.38

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Solution

The third proportional to 280,415.06 and 616,902.38 is: 1,357,161.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,415.06 : 616,902.38 = 616,902.38 : x
  2. Step 2: Convert to fraction form
    280,415.06/616,902.38 = 616,902.38/x
  3. Step 3: Cross multiply
    280,415.06x = 616,902.38 × 616,902.38
  4. Step 4: Simplify right side
    280,415.06x = 380,568,540,280.64
  5. Step 5: Solve for x
    x = 380,568,540,280.64/280,415.06
  6. Step 6: Final answer
    x = 1,357,161.55

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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.