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Finding the Third Proportional to 102,115.69 and 165,781.69

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Solution

The third proportional to 102,115.69 and 165,781.69 is: 269,141.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,115.69 : 165,781.69 = 165,781.69 : x
  2. Step 2: Convert to fraction form
    102,115.69/165,781.69 = 165,781.69/x
  3. Step 3: Cross multiply
    102,115.69x = 165,781.69 × 165,781.69
  4. Step 4: Simplify right side
    102,115.69x = 27,483,567,910.35
  5. Step 5: Solve for x
    x = 27,483,567,910.35/102,115.69
  6. Step 6: Final answer
    x = 269,141.49

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.