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Finding the Third Proportional to 129,967 and 280,026

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Solution

The third proportional to 129,967 and 280,026 is: 603,342.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,967 : 280,026 = 280,026 : x
  2. Step 2: Convert to fraction form
    129,967/280,026 = 280,026/x
  3. Step 3: Cross multiply
    129,967x = 280,026 × 280,026
  4. Step 4: Simplify right side
    129,967x = 78,414,560,676
  5. Step 5: Solve for x
    x = 78,414,560,676/129,967
  6. Step 6: Final answer
    x = 603,342.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.