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Finding the Third Proportional to 77,962 and 108,621

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Solution

The third proportional to 77,962 and 108,621 is: 151,336.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,962 : 108,621 = 108,621 : x
  2. Step 2: Convert to fraction form
    77,962/108,621 = 108,621/x
  3. Step 3: Cross multiply
    77,962x = 108,621 × 108,621
  4. Step 4: Simplify right side
    77,962x = 11,798,521,641
  5. Step 5: Solve for x
    x = 11,798,521,641/77,962
  6. Step 6: Final answer
    x = 151,336.83

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.