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Finding the Third Proportional to 143,322 and 303,729

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Solution

The third proportional to 143,322 and 303,729 is: 643,664.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,322 : 303,729 = 303,729 : x
  2. Step 2: Convert to fraction form
    143,322/303,729 = 303,729/x
  3. Step 3: Cross multiply
    143,322x = 303,729 × 303,729
  4. Step 4: Simplify right side
    143,322x = 92,251,305,441
  5. Step 5: Solve for x
    x = 92,251,305,441/143,322
  6. Step 6: Final answer
    x = 643,664.65

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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.