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Finding the Third Proportional to 129,600 and 263,808

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Solution

The third proportional to 129,600 and 263,808 is: 536,995.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,600 : 263,808 = 263,808 : x
  2. Step 2: Convert to fraction form
    129,600/263,808 = 263,808/x
  3. Step 3: Cross multiply
    129,600x = 263,808 × 263,808
  4. Step 4: Simplify right side
    129,600x = 69,594,660,864
  5. Step 5: Solve for x
    x = 69,594,660,864/129,600
  6. Step 6: Final answer
    x = 536,995.84

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.