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Finding the Third Proportional to 53,021.25 and 81,992.25

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Solution

The third proportional to 53,021.25 and 81,992.25 is: 126,793.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,021.25 : 81,992.25 = 81,992.25 : x
  2. Step 2: Convert to fraction form
    53,021.25/81,992.25 = 81,992.25/x
  3. Step 3: Cross multiply
    53,021.25x = 81,992.25 × 81,992.25
  4. Step 4: Simplify right side
    53,021.25x = 6,722,729,060.06
  5. Step 5: Solve for x
    x = 6,722,729,060.06/53,021.25
  6. Step 6: Final answer
    x = 126,793.11

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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.