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Finding the Third Proportional to 111,844 and 169,395

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Solution

The third proportional to 111,844 and 169,395 is: 256,559.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,844 : 169,395 = 169,395 : x
  2. Step 2: Convert to fraction form
    111,844/169,395 = 169,395/x
  3. Step 3: Cross multiply
    111,844x = 169,395 × 169,395
  4. Step 4: Simplify right side
    111,844x = 28,694,666,025
  5. Step 5: Solve for x
    x = 28,694,666,025/111,844
  6. Step 6: Final answer
    x = 256,559.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.