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Finding the Third Proportional to 65,759 and 143,821

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Solution

The third proportional to 65,759 and 143,821 is: 314,549.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,759 : 143,821 = 143,821 : x
  2. Step 2: Convert to fraction form
    65,759/143,821 = 143,821/x
  3. Step 3: Cross multiply
    65,759x = 143,821 × 143,821
  4. Step 4: Simplify right side
    65,759x = 20,684,480,041
  5. Step 5: Solve for x
    x = 20,684,480,041/65,759
  6. Step 6: Final answer
    x = 314,549.80

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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.