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Finding the Third Proportional to 140,530 and 331,729

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Solution

The third proportional to 140,530 and 331,729 is: 783,065.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,530 : 331,729 = 331,729 : x
  2. Step 2: Convert to fraction form
    140,530/331,729 = 331,729/x
  3. Step 3: Cross multiply
    140,530x = 331,729 × 331,729
  4. Step 4: Simplify right side
    140,530x = 110,044,129,441
  5. Step 5: Solve for x
    x = 110,044,129,441/140,530
  6. Step 6: Final answer
    x = 783,065.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.