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Finding the Third Proportional to 143,440 and 303,295

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Solution

The third proportional to 143,440 and 303,295 is: 641,298.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,440 : 303,295 = 303,295 : x
  2. Step 2: Convert to fraction form
    143,440/303,295 = 303,295/x
  3. Step 3: Cross multiply
    143,440x = 303,295 × 303,295
  4. Step 4: Simplify right side
    143,440x = 91,987,857,025
  5. Step 5: Solve for x
    x = 91,987,857,025/143,440
  6. Step 6: Final answer
    x = 641,298.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.