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Finding the Third Proportional to 51,169 and 78,941

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Solution

The third proportional to 51,169 and 78,941 is: 121,786.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,169 : 78,941 = 78,941 : x
  2. Step 2: Convert to fraction form
    51,169/78,941 = 78,941/x
  3. Step 3: Cross multiply
    51,169x = 78,941 × 78,941
  4. Step 4: Simplify right side
    51,169x = 6,231,681,481
  5. Step 5: Solve for x
    x = 6,231,681,481/51,169
  6. Step 6: Final answer
    x = 121,786.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.