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Finding the Third Proportional to 78,048 and 165,819

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Solution

The third proportional to 78,048 and 165,819 is: 352,295.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,048 : 165,819 = 165,819 : x
  2. Step 2: Convert to fraction form
    78,048/165,819 = 165,819/x
  3. Step 3: Cross multiply
    78,048x = 165,819 × 165,819
  4. Step 4: Simplify right side
    78,048x = 27,495,940,761
  5. Step 5: Solve for x
    x = 27,495,940,761/78,048
  6. Step 6: Final answer
    x = 352,295.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.