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Finding the Third Proportional to 51,609 and 105,861

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Solution

The third proportional to 51,609 and 105,861 is: 217,143.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,609 : 105,861 = 105,861 : x
  2. Step 2: Convert to fraction form
    51,609/105,861 = 105,861/x
  3. Step 3: Cross multiply
    51,609x = 105,861 × 105,861
  4. Step 4: Simplify right side
    51,609x = 11,206,551,321
  5. Step 5: Solve for x
    x = 11,206,551,321/51,609
  6. Step 6: Final answer
    x = 217,143.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.