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Finding the Third Proportional to 78,185.25 and 125,889.19

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Solution

The third proportional to 78,185.25 and 125,889.19 is: 202,699.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,185.25 : 125,889.19 = 125,889.19 : x
  2. Step 2: Convert to fraction form
    78,185.25/125,889.19 = 125,889.19/x
  3. Step 3: Cross multiply
    78,185.25x = 125,889.19 × 125,889.19
  4. Step 4: Simplify right side
    78,185.25x = 15,848,087,529.41
  5. Step 5: Solve for x
    x = 15,848,087,529.41/78,185.25
  6. Step 6: Final answer
    x = 202,699.20

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.