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Finding the Third Proportional to 111,977 and 169,742

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Solution

The third proportional to 111,977 and 169,742 is: 257,305.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,977 : 169,742 = 169,742 : x
  2. Step 2: Convert to fraction form
    111,977/169,742 = 169,742/x
  3. Step 3: Cross multiply
    111,977x = 169,742 × 169,742
  4. Step 4: Simplify right side
    111,977x = 28,812,346,564
  5. Step 5: Solve for x
    x = 28,812,346,564/111,977
  6. Step 6: Final answer
    x = 257,305.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.