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Finding the Third Proportional to 78,185.25 and 170,709.75

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Solution

The third proportional to 78,185.25 and 170,709.75 is: 372,727.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,185.25 : 170,709.75 = 170,709.75 : x
  2. Step 2: Convert to fraction form
    78,185.25/170,709.75 = 170,709.75/x
  3. Step 3: Cross multiply
    78,185.25x = 170,709.75 × 170,709.75
  4. Step 4: Simplify right side
    78,185.25x = 29,141,818,745.06
  5. Step 5: Solve for x
    x = 29,141,818,745.06/78,185.25
  6. Step 6: Final answer
    x = 372,727.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.