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Finding the Third Proportional to 65,742 and 143,991

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Solution

The third proportional to 65,742 and 143,991 is: 315,375.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,742 : 143,991 = 143,991 : x
  2. Step 2: Convert to fraction form
    65,742/143,991 = 143,991/x
  3. Step 3: Cross multiply
    65,742x = 143,991 × 143,991
  4. Step 4: Simplify right side
    65,742x = 20,733,408,081
  5. Step 5: Solve for x
    x = 20,733,408,081/65,742
  6. Step 6: Final answer
    x = 315,375.38

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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.