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Finding the Third Proportional to 65,278 and 143,165

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Solution

The third proportional to 65,278 and 143,165 is: 313,983.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,278 : 143,165 = 143,165 : x
  2. Step 2: Convert to fraction form
    65,278/143,165 = 143,165/x
  3. Step 3: Cross multiply
    65,278x = 143,165 × 143,165
  4. Step 4: Simplify right side
    65,278x = 20,496,217,225
  5. Step 5: Solve for x
    x = 20,496,217,225/65,278
  6. Step 6: Final answer
    x = 313,983.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.