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Finding the Third Proportional to 78,042 and 165,372

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Solution

The third proportional to 78,042 and 165,372 is: 350,425.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,042 : 165,372 = 165,372 : x
  2. Step 2: Convert to fraction form
    78,042/165,372 = 165,372/x
  3. Step 3: Cross multiply
    78,042x = 165,372 × 165,372
  4. Step 4: Simplify right side
    78,042x = 27,347,898,384
  5. Step 5: Solve for x
    x = 27,347,898,384/78,042
  6. Step 6: Final answer
    x = 350,425.39

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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.