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Finding the Third Proportional to 79,780 and 172,768

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Solution

The third proportional to 79,780 and 172,768 is: 374,138.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,780 : 172,768 = 172,768 : x
  2. Step 2: Convert to fraction form
    79,780/172,768 = 172,768/x
  3. Step 3: Cross multiply
    79,780x = 172,768 × 172,768
  4. Step 4: Simplify right side
    79,780x = 29,848,781,824
  5. Step 5: Solve for x
    x = 29,848,781,824/79,780
  6. Step 6: Final answer
    x = 374,138.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.