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Finding the Third Proportional to 105,604 and 218,692

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Solution

The third proportional to 105,604 and 218,692 is: 452,882.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,604 : 218,692 = 218,692 : x
  2. Step 2: Convert to fraction form
    105,604/218,692 = 218,692/x
  3. Step 3: Cross multiply
    105,604x = 218,692 × 218,692
  4. Step 4: Simplify right side
    105,604x = 47,826,190,864
  5. Step 5: Solve for x
    x = 47,826,190,864/105,604
  6. Step 6: Final answer
    x = 452,882.38

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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.