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Finding the Third Proportional to 143,765 and 311,965

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Solution

The third proportional to 143,765 and 311,965 is: 676,953.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,765 : 311,965 = 311,965 : x
  2. Step 2: Convert to fraction form
    143,765/311,965 = 311,965/x
  3. Step 3: Cross multiply
    143,765x = 311,965 × 311,965
  4. Step 4: Simplify right side
    143,765x = 97,322,161,225
  5. Step 5: Solve for x
    x = 97,322,161,225/143,765
  6. Step 6: Final answer
    x = 676,953.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.