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Finding the Third Proportional to 81,099.75 and 177,987.75

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Solution

The third proportional to 81,099.75 and 177,987.75 is: 390,625.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,099.75 : 177,987.75 = 177,987.75 : x
  2. Step 2: Convert to fraction form
    81,099.75/177,987.75 = 177,987.75/x
  3. Step 3: Cross multiply
    81,099.75x = 177,987.75 × 177,987.75
  4. Step 4: Simplify right side
    81,099.75x = 31,679,639,150.06
  5. Step 5: Solve for x
    x = 31,679,639,150.06/81,099.75
  6. Step 6: Final answer
    x = 390,625.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.