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Finding the Third Proportional to 53,991.56 and 81,693.56

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Solution

The third proportional to 53,991.56 and 81,693.56 is: 123,608.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,991.56 : 81,693.56 = 81,693.56 : x
  2. Step 2: Convert to fraction form
    53,991.56/81,693.56 = 81,693.56/x
  3. Step 3: Cross multiply
    53,991.56x = 81,693.56 × 81,693.56
  4. Step 4: Simplify right side
    53,991.56x = 6,673,838,153.94
  5. Step 5: Solve for x
    x = 6,673,838,153.94/53,991.56
  6. Step 6: Final answer
    x = 123,608.91

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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.