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Finding the Third Proportional to 81,243 and 125,552.25

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Solution

The third proportional to 81,243 and 125,552.25 is: 194,027.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,243 : 125,552.25 = 125,552.25 : x
  2. Step 2: Convert to fraction form
    81,243/125,552.25 = 125,552.25/x
  3. Step 3: Cross multiply
    81,243x = 125,552.25 × 125,552.25
  4. Step 4: Simplify right side
    81,243x = 15,763,367,480.06
  5. Step 5: Solve for x
    x = 15,763,367,480.06/81,243
  6. Step 6: Final answer
    x = 194,027.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.