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Finding the Third Proportional to 143,243 and 303,562

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Solution

The third proportional to 143,243 and 303,562 is: 643,311.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,243 : 303,562 = 303,562 : x
  2. Step 2: Convert to fraction form
    143,243/303,562 = 303,562/x
  3. Step 3: Cross multiply
    143,243x = 303,562 × 303,562
  4. Step 4: Simplify right side
    143,243x = 92,149,887,844
  5. Step 5: Solve for x
    x = 92,149,887,844/143,243
  6. Step 6: Final answer
    x = 643,311.63

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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.