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Finding the Third Proportional to 65,891 and 143,707

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Solution

The third proportional to 65,891 and 143,707 is: 313,422.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,891 : 143,707 = 143,707 : x
  2. Step 2: Convert to fraction form
    65,891/143,707 = 143,707/x
  3. Step 3: Cross multiply
    65,891x = 143,707 × 143,707
  4. Step 4: Simplify right side
    65,891x = 20,651,701,849
  5. Step 5: Solve for x
    x = 20,651,701,849/65,891
  6. Step 6: Final answer
    x = 313,422.19

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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.