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Finding the Third Proportional to 143,296 and 303,660

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Solution

The third proportional to 143,296 and 303,660 is: 643,488.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,296 : 303,660 = 303,660 : x
  2. Step 2: Convert to fraction form
    143,296/303,660 = 303,660/x
  3. Step 3: Cross multiply
    143,296x = 303,660 × 303,660
  4. Step 4: Simplify right side
    143,296x = 92,209,395,600
  5. Step 5: Solve for x
    x = 92,209,395,600/143,296
  6. Step 6: Final answer
    x = 643,488.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.