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Finding the Third Proportional to 143,325 and 307,782

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Solution

The third proportional to 143,325 and 307,782 is: 660,943.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,325 : 307,782 = 307,782 : x
  2. Step 2: Convert to fraction form
    143,325/307,782 = 307,782/x
  3. Step 3: Cross multiply
    143,325x = 307,782 × 307,782
  4. Step 4: Simplify right side
    143,325x = 94,729,759,524
  5. Step 5: Solve for x
    x = 94,729,759,524/143,325
  6. Step 6: Final answer
    x = 660,943.73

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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.