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Finding the Third Proportional to 81,218.53 and 124,999.41

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Solution

The third proportional to 81,218.53 and 124,999.41 is: 192,380.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,218.53 : 124,999.41 = 124,999.41 : x
  2. Step 2: Convert to fraction form
    81,218.53/124,999.41 = 124,999.41/x
  3. Step 3: Cross multiply
    81,218.53x = 124,999.41 × 124,999.41
  4. Step 4: Simplify right side
    81,218.53x = 15,624,851,562.85
  5. Step 5: Solve for x
    x = 15,624,851,562.85/81,218.53
  6. Step 6: Final answer
    x = 192,380.38

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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.