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Finding the Third Proportional to 103,667 and 218,402

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Solution

The third proportional to 103,667 and 218,402 is: 460,121.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,667 : 218,402 = 218,402 : x
  2. Step 2: Convert to fraction form
    103,667/218,402 = 218,402/x
  3. Step 3: Cross multiply
    103,667x = 218,402 × 218,402
  4. Step 4: Simplify right side
    103,667x = 47,699,433,604
  5. Step 5: Solve for x
    x = 47,699,433,604/103,667
  6. Step 6: Final answer
    x = 460,121.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.