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Finding the Third Proportional to 89,042 and 136,923

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Solution

The third proportional to 89,042 and 136,923 is: 210,551.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,042 : 136,923 = 136,923 : x
  2. Step 2: Convert to fraction form
    89,042/136,923 = 136,923/x
  3. Step 3: Cross multiply
    89,042x = 136,923 × 136,923
  4. Step 4: Simplify right side
    89,042x = 18,747,907,929
  5. Step 5: Solve for x
    x = 18,747,907,929/89,042
  6. Step 6: Final answer
    x = 210,551.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.