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Finding the Third Proportional to 86,628 and 189,804

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Solution

The third proportional to 86,628 and 189,804 is: 415,865.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,628 : 189,804 = 189,804 : x
  2. Step 2: Convert to fraction form
    86,628/189,804 = 189,804/x
  3. Step 3: Cross multiply
    86,628x = 189,804 × 189,804
  4. Step 4: Simplify right side
    86,628x = 36,025,558,416
  5. Step 5: Solve for x
    x = 36,025,558,416/86,628
  6. Step 6: Final answer
    x = 415,865.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.