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Finding the Third Proportional to 65,986 and 143,881

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Solution

The third proportional to 65,986 and 143,881 is: 313,729.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,986 : 143,881 = 143,881 : x
  2. Step 2: Convert to fraction form
    65,986/143,881 = 143,881/x
  3. Step 3: Cross multiply
    65,986x = 143,881 × 143,881
  4. Step 4: Simplify right side
    65,986x = 20,701,742,161
  5. Step 5: Solve for x
    x = 20,701,742,161/65,986
  6. Step 6: Final answer
    x = 313,729.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.