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Finding the Third Proportional to 65,977 and 143,794

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Solution

The third proportional to 65,977 and 143,794 is: 313,392.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,977 : 143,794 = 143,794 : x
  2. Step 2: Convert to fraction form
    65,977/143,794 = 143,794/x
  3. Step 3: Cross multiply
    65,977x = 143,794 × 143,794
  4. Step 4: Simplify right side
    65,977x = 20,676,714,436
  5. Step 5: Solve for x
    x = 20,676,714,436/65,977
  6. Step 6: Final answer
    x = 313,392.76

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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.