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Finding the Third Proportional to 81,860 and 120,104

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Solution

The third proportional to 81,860 and 120,104 is: 176,215.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,860 : 120,104 = 120,104 : x
  2. Step 2: Convert to fraction form
    81,860/120,104 = 120,104/x
  3. Step 3: Cross multiply
    81,860x = 120,104 × 120,104
  4. Step 4: Simplify right side
    81,860x = 14,424,970,816
  5. Step 5: Solve for x
    x = 14,424,970,816/81,860
  6. Step 6: Final answer
    x = 176,215.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.