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Finding the Third Proportional to 86,127 and 126,181.50

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Solution

The third proportional to 86,127 and 126,181.50 is: 184,863.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,127 : 126,181.50 = 126,181.50 : x
  2. Step 2: Convert to fraction form
    86,127/126,181.50 = 126,181.50/x
  3. Step 3: Cross multiply
    86,127x = 126,181.50 × 126,181.50
  4. Step 4: Simplify right side
    86,127x = 15,921,770,942.25
  5. Step 5: Solve for x
    x = 15,921,770,942.25/86,127
  6. Step 6: Final answer
    x = 184,863.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.