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Finding the Third Proportional to 142,675 and 303,782

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Solution

The third proportional to 142,675 and 303,782 is: 646,809.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,675 : 303,782 = 303,782 : x
  2. Step 2: Convert to fraction form
    142,675/303,782 = 303,782/x
  3. Step 3: Cross multiply
    142,675x = 303,782 × 303,782
  4. Step 4: Simplify right side
    142,675x = 92,283,503,524
  5. Step 5: Solve for x
    x = 92,283,503,524/142,675
  6. Step 6: Final answer
    x = 646,809.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.