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Finding the Third Proportional to 63,684 and 135,819

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Solution

The third proportional to 63,684 and 135,819 is: 289,661.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,684 : 135,819 = 135,819 : x
  2. Step 2: Convert to fraction form
    63,684/135,819 = 135,819/x
  3. Step 3: Cross multiply
    63,684x = 135,819 × 135,819
  4. Step 4: Simplify right side
    63,684x = 18,446,800,761
  5. Step 5: Solve for x
    x = 18,446,800,761/63,684
  6. Step 6: Final answer
    x = 289,661.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.