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Finding the Third Proportional to 140,836 and 305,960

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Solution

The third proportional to 140,836 and 305,960 is: 664,684.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,836 : 305,960 = 305,960 : x
  2. Step 2: Convert to fraction form
    140,836/305,960 = 305,960/x
  3. Step 3: Cross multiply
    140,836x = 305,960 × 305,960
  4. Step 4: Simplify right side
    140,836x = 93,611,521,600
  5. Step 5: Solve for x
    x = 93,611,521,600/140,836
  6. Step 6: Final answer
    x = 664,684.61

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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.