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Finding the Third Proportional to 100,965 and 218,647

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Solution

The third proportional to 100,965 and 218,647 is: 473,495.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,965 : 218,647 = 218,647 : x
  2. Step 2: Convert to fraction form
    100,965/218,647 = 218,647/x
  3. Step 3: Cross multiply
    100,965x = 218,647 × 218,647
  4. Step 4: Simplify right side
    100,965x = 47,806,510,609
  5. Step 5: Solve for x
    x = 47,806,510,609/100,965
  6. Step 6: Final answer
    x = 473,495.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.