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Finding the Third Proportional to 86,118 and 189,210

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Solution

The third proportional to 86,118 and 189,210 is: 415,713.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,118 : 189,210 = 189,210 : x
  2. Step 2: Convert to fraction form
    86,118/189,210 = 189,210/x
  3. Step 3: Cross multiply
    86,118x = 189,210 × 189,210
  4. Step 4: Simplify right side
    86,118x = 35,800,424,100
  5. Step 5: Solve for x
    x = 35,800,424,100/86,118
  6. Step 6: Final answer
    x = 415,713.60

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.