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Finding the Third Proportional to 133,980 and 178,604

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Solution

The third proportional to 133,980 and 178,604 is: 238,090.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,980 : 178,604 = 178,604 : x
  2. Step 2: Convert to fraction form
    133,980/178,604 = 178,604/x
  3. Step 3: Cross multiply
    133,980x = 178,604 × 178,604
  4. Step 4: Simplify right side
    133,980x = 31,899,388,816
  5. Step 5: Solve for x
    x = 31,899,388,816/133,980
  6. Step 6: Final answer
    x = 238,090.68

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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.