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Finding the Third Proportional to 10,149 and 20,586

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Solution

The third proportional to 10,149 and 20,586 is: 41,756.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149 : 20,586 = 20,586 : x
  2. Step 2: Convert to fraction form
    10,149/20,586 = 20,586/x
  3. Step 3: Cross multiply
    10,149x = 20,586 × 20,586
  4. Step 4: Simplify right side
    10,149x = 423,783,396
  5. Step 5: Solve for x
    x = 423,783,396/10,149
  6. Step 6: Final answer
    x = 41,756.17

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.