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Finding the Third Proportional to 129,784.78 and 269,900.86

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Solution

The third proportional to 129,784.78 and 269,900.86 is: 561,286.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,784.78 : 269,900.86 = 269,900.86 : x
  2. Step 2: Convert to fraction form
    129,784.78/269,900.86 = 269,900.86/x
  3. Step 3: Cross multiply
    129,784.78x = 269,900.86 × 269,900.86
  4. Step 4: Simplify right side
    129,784.78x = 72,846,473,891.36
  5. Step 5: Solve for x
    x = 72,846,473,891.36/129,784.78
  6. Step 6: Final answer
    x = 561,286.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.