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Finding the Third Proportional to 217,406 and 325,109

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Solution

The third proportional to 217,406 and 325,109 is: 486,168.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,406 : 325,109 = 325,109 : x
  2. Step 2: Convert to fraction form
    217,406/325,109 = 325,109/x
  3. Step 3: Cross multiply
    217,406x = 325,109 × 325,109
  4. Step 4: Simplify right side
    217,406x = 105,695,861,881
  5. Step 5: Solve for x
    x = 105,695,861,881/217,406
  6. Step 6: Final answer
    x = 486,168.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.