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Finding the Third Proportional to 51,546 and 79,647

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Solution

The third proportional to 51,546 and 79,647 is: 123,067.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,546 : 79,647 = 79,647 : x
  2. Step 2: Convert to fraction form
    51,546/79,647 = 79,647/x
  3. Step 3: Cross multiply
    51,546x = 79,647 × 79,647
  4. Step 4: Simplify right side
    51,546x = 6,343,644,609
  5. Step 5: Solve for x
    x = 6,343,644,609/51,546
  6. Step 6: Final answer
    x = 123,067.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.