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Finding the Third Proportional to 133,839 and 178,430

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Solution

The third proportional to 133,839 and 178,430 is: 237,877.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,839 : 178,430 = 178,430 : x
  2. Step 2: Convert to fraction form
    133,839/178,430 = 178,430/x
  3. Step 3: Cross multiply
    133,839x = 178,430 × 178,430
  4. Step 4: Simplify right side
    133,839x = 31,837,264,900
  5. Step 5: Solve for x
    x = 31,837,264,900/133,839
  6. Step 6: Final answer
    x = 237,877.34

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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.