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Finding the Third Proportional to 78,021 and 117,720

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Solution

The third proportional to 78,021 and 117,720 is: 177,618.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,021 : 117,720 = 117,720 : x
  2. Step 2: Convert to fraction form
    78,021/117,720 = 117,720/x
  3. Step 3: Cross multiply
    78,021x = 117,720 × 117,720
  4. Step 4: Simplify right side
    78,021x = 13,857,998,400
  5. Step 5: Solve for x
    x = 13,857,998,400/78,021
  6. Step 6: Final answer
    x = 177,618.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.