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Finding the Third Proportional to 104,013 and 223,586

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Solution

The third proportional to 104,013 and 223,586 is: 480,619.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,013 : 223,586 = 223,586 : x
  2. Step 2: Convert to fraction form
    104,013/223,586 = 223,586/x
  3. Step 3: Cross multiply
    104,013x = 223,586 × 223,586
  4. Step 4: Simplify right side
    104,013x = 49,990,699,396
  5. Step 5: Solve for x
    x = 49,990,699,396/104,013
  6. Step 6: Final answer
    x = 480,619.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.