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Finding the Third Proportional to 103,635 and 214,638

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Solution

The third proportional to 103,635 and 214,638 is: 444,535.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,635 : 214,638 = 214,638 : x
  2. Step 2: Convert to fraction form
    103,635/214,638 = 214,638/x
  3. Step 3: Cross multiply
    103,635x = 214,638 × 214,638
  4. Step 4: Simplify right side
    103,635x = 46,069,471,044
  5. Step 5: Solve for x
    x = 46,069,471,044/103,635
  6. Step 6: Final answer
    x = 444,535.83

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.