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Finding the Third Proportional to 86,110 and 189,260

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Solution

The third proportional to 86,110 and 189,260 is: 415,971.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,110 : 189,260 = 189,260 : x
  2. Step 2: Convert to fraction form
    86,110/189,260 = 189,260/x
  3. Step 3: Cross multiply
    86,110x = 189,260 × 189,260
  4. Step 4: Simplify right side
    86,110x = 35,819,347,600
  5. Step 5: Solve for x
    x = 35,819,347,600/86,110
  6. Step 6: Final answer
    x = 415,971.98

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Why These Related Problems?

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