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Finding the Third Proportional to 140,496 and 331,647

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Solution

The third proportional to 140,496 and 331,647 is: 782,867.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,496 : 331,647 = 331,647 : x
  2. Step 2: Convert to fraction form
    140,496/331,647 = 331,647/x
  3. Step 3: Cross multiply
    140,496x = 331,647 × 331,647
  4. Step 4: Simplify right side
    140,496x = 109,989,732,609
  5. Step 5: Solve for x
    x = 109,989,732,609/140,496
  6. Step 6: Final answer
    x = 782,867.36

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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.