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Finding the Third Proportional to 86,643 and 188,955

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Solution

The third proportional to 86,643 and 188,955 is: 412,081.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,643 : 188,955 = 188,955 : x
  2. Step 2: Convert to fraction form
    86,643/188,955 = 188,955/x
  3. Step 3: Cross multiply
    86,643x = 188,955 × 188,955
  4. Step 4: Simplify right side
    86,643x = 35,703,992,025
  5. Step 5: Solve for x
    x = 35,703,992,025/86,643
  6. Step 6: Final answer
    x = 412,081.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.