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Finding the Third Proportional to 280,500 and 608,556

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Solution

The third proportional to 280,500 and 608,556 is: 1,320,286.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,500 : 608,556 = 608,556 : x
  2. Step 2: Convert to fraction form
    280,500/608,556 = 608,556/x
  3. Step 3: Cross multiply
    280,500x = 608,556 × 608,556
  4. Step 4: Simplify right side
    280,500x = 370,340,405,136
  5. Step 5: Solve for x
    x = 370,340,405,136/280,500
  6. Step 6: Final answer
    x = 1,320,286.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.