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Finding the Third Proportional to 143,545 and 309,027

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Solution

The third proportional to 143,545 and 309,027 is: 665,280.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,545 : 309,027 = 309,027 : x
  2. Step 2: Convert to fraction form
    143,545/309,027 = 309,027/x
  3. Step 3: Cross multiply
    143,545x = 309,027 × 309,027
  4. Step 4: Simplify right side
    143,545x = 95,497,686,729
  5. Step 5: Solve for x
    x = 95,497,686,729/143,545
  6. Step 6: Final answer
    x = 665,280.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.