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Finding the Third Proportional to 129,185 and 277,059

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Solution

The third proportional to 129,185 and 277,059 is: 594,199.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,185 : 277,059 = 277,059 : x
  2. Step 2: Convert to fraction form
    129,185/277,059 = 277,059/x
  3. Step 3: Cross multiply
    129,185x = 277,059 × 277,059
  4. Step 4: Simplify right side
    129,185x = 76,761,689,481
  5. Step 5: Solve for x
    x = 76,761,689,481/129,185
  6. Step 6: Final answer
    x = 594,199.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.