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Finding the Third Proportional to 77,724 and 120,021

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Solution

The third proportional to 77,724 and 120,021 is: 185,335.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,724 : 120,021 = 120,021 : x
  2. Step 2: Convert to fraction form
    77,724/120,021 = 120,021/x
  3. Step 3: Cross multiply
    77,724x = 120,021 × 120,021
  4. Step 4: Simplify right side
    77,724x = 14,405,040,441
  5. Step 5: Solve for x
    x = 14,405,040,441/77,724
  6. Step 6: Final answer
    x = 185,335.81

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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.