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Finding the Third Proportional to 86,918 and 209,318

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Solution

The third proportional to 86,918 and 209,318 is: 504,084.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,918 : 209,318 = 209,318 : x
  2. Step 2: Convert to fraction form
    86,918/209,318 = 209,318/x
  3. Step 3: Cross multiply
    86,918x = 209,318 × 209,318
  4. Step 4: Simplify right side
    86,918x = 43,814,025,124
  5. Step 5: Solve for x
    x = 43,814,025,124/86,918
  6. Step 6: Final answer
    x = 504,084.60

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.