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Finding the Third Proportional to 102,888 and 136,555

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Solution

The third proportional to 102,888 and 136,555 is: 181,238.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,888 : 136,555 = 136,555 : x
  2. Step 2: Convert to fraction form
    102,888/136,555 = 136,555/x
  3. Step 3: Cross multiply
    102,888x = 136,555 × 136,555
  4. Step 4: Simplify right side
    102,888x = 18,647,268,025
  5. Step 5: Solve for x
    x = 18,647,268,025/102,888
  6. Step 6: Final answer
    x = 181,238.51

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.