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Finding the Third Proportional to 133,858 and 178,458

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Solution

The third proportional to 133,858 and 178,458 is: 237,918.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,858 : 178,458 = 178,458 : x
  2. Step 2: Convert to fraction form
    133,858/178,458 = 178,458/x
  3. Step 3: Cross multiply
    133,858x = 178,458 × 178,458
  4. Step 4: Simplify right side
    133,858x = 31,847,257,764
  5. Step 5: Solve for x
    x = 31,847,257,764/133,858
  6. Step 6: Final answer
    x = 237,918.23

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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.