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Finding the Third Proportional to 77,761 and 163,821

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Solution

The third proportional to 77,761 and 163,821 is: 345,125.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,761 : 163,821 = 163,821 : x
  2. Step 2: Convert to fraction form
    77,761/163,821 = 163,821/x
  3. Step 3: Cross multiply
    77,761x = 163,821 × 163,821
  4. Step 4: Simplify right side
    77,761x = 26,837,320,041
  5. Step 5: Solve for x
    x = 26,837,320,041/77,761
  6. Step 6: Final answer
    x = 345,125.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.