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Finding the Third Proportional to 140,502 and 331,662

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Solution

The third proportional to 140,502 and 331,662 is: 782,904.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,502 : 331,662 = 331,662 : x
  2. Step 2: Convert to fraction form
    140,502/331,662 = 331,662/x
  3. Step 3: Cross multiply
    140,502x = 331,662 × 331,662
  4. Step 4: Simplify right side
    140,502x = 109,999,682,244
  5. Step 5: Solve for x
    x = 109,999,682,244/140,502
  6. Step 6: Final answer
    x = 782,904.74

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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.