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Finding the Third Proportional to 280,211.06 and 619,290.56

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Solution

The third proportional to 280,211.06 and 619,290.56 is: 1,368,685.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,211.06 : 619,290.56 = 619,290.56 : x
  2. Step 2: Convert to fraction form
    280,211.06/619,290.56 = 619,290.56/x
  3. Step 3: Cross multiply
    280,211.06x = 619,290.56 × 619,290.56
  4. Step 4: Simplify right side
    280,211.06x = 383,520,800,801.57
  5. Step 5: Solve for x
    x = 383,520,800,801.57/280,211.06
  6. Step 6: Final answer
    x = 1,368,685.44

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.