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Finding the Third Proportional to 86,915 and 209,314

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Solution

The third proportional to 86,915 and 209,314 is: 504,082.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,915 : 209,314 = 209,314 : x
  2. Step 2: Convert to fraction form
    86,915/209,314 = 209,314/x
  3. Step 3: Cross multiply
    86,915x = 209,314 × 209,314
  4. Step 4: Simplify right side
    86,915x = 43,812,350,596
  5. Step 5: Solve for x
    x = 43,812,350,596/86,915
  6. Step 6: Final answer
    x = 504,082.73

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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.