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Finding the Third Proportional to 81,772 and 120,835

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Solution

The third proportional to 81,772 and 120,835 is: 178,558.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,772 : 120,835 = 120,835 : x
  2. Step 2: Convert to fraction form
    81,772/120,835 = 120,835/x
  3. Step 3: Cross multiply
    81,772x = 120,835 × 120,835
  4. Step 4: Simplify right side
    81,772x = 14,601,097,225
  5. Step 5: Solve for x
    x = 14,601,097,225/81,772
  6. Step 6: Final answer
    x = 178,558.64

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.