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Finding the Third Proportional to 133,873 and 178,477.25

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Solution

The third proportional to 133,873 and 178,477.25 is: 237,942.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,873 : 178,477.25 = 178,477.25 : x
  2. Step 2: Convert to fraction form
    133,873/178,477.25 = 178,477.25/x
  3. Step 3: Cross multiply
    133,873x = 178,477.25 × 178,477.25
  4. Step 4: Simplify right side
    133,873x = 31,854,128,767.56
  5. Step 5: Solve for x
    x = 31,854,128,767.56/133,873
  6. Step 6: Final answer
    x = 237,942.89

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.