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Finding the Third Proportional to 86,202 and 189,684

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Solution

The third proportional to 86,202 and 189,684 is: 417,391.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,202 : 189,684 = 189,684 : x
  2. Step 2: Convert to fraction form
    86,202/189,684 = 189,684/x
  3. Step 3: Cross multiply
    86,202x = 189,684 × 189,684
  4. Step 4: Simplify right side
    86,202x = 35,980,019,856
  5. Step 5: Solve for x
    x = 35,980,019,856/86,202
  6. Step 6: Final answer
    x = 417,391.94

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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.