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Finding the Third Proportional to 280,743 and 608,782

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Solution

The third proportional to 280,743 and 608,782 is: 1,320,123.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,743 : 608,782 = 608,782 : x
  2. Step 2: Convert to fraction form
    280,743/608,782 = 608,782/x
  3. Step 3: Cross multiply
    280,743x = 608,782 × 608,782
  4. Step 4: Simplify right side
    280,743x = 370,615,523,524
  5. Step 5: Solve for x
    x = 370,615,523,524/280,743
  6. Step 6: Final answer
    x = 1,320,123.83

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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.