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Finding the Third Proportional to 65,723 and 143,608

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Solution

The third proportional to 65,723 and 143,608 is: 313,790.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,723 : 143,608 = 143,608 : x
  2. Step 2: Convert to fraction form
    65,723/143,608 = 143,608/x
  3. Step 3: Cross multiply
    65,723x = 143,608 × 143,608
  4. Step 4: Simplify right side
    65,723x = 20,623,257,664
  5. Step 5: Solve for x
    x = 20,623,257,664/65,723
  6. Step 6: Final answer
    x = 313,790.57

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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.