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Finding the Third Proportional to 81,288.50 and 125,042

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Solution

The third proportional to 81,288.50 and 125,042 is: 192,345.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,288.50 : 125,042 = 125,042 : x
  2. Step 2: Convert to fraction form
    81,288.50/125,042 = 125,042/x
  3. Step 3: Cross multiply
    81,288.50x = 125,042 × 125,042
  4. Step 4: Simplify right side
    81,288.50x = 15,635,501,764
  5. Step 5: Solve for x
    x = 15,635,501,764/81,288.50
  6. Step 6: Final answer
    x = 192,345.80

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