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Finding the Third Proportional to 133,778 and 178,431

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Solution

The third proportional to 133,778 and 178,431 is: 237,988.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,778 : 178,431 = 178,431 : x
  2. Step 2: Convert to fraction form
    133,778/178,431 = 178,431/x
  3. Step 3: Cross multiply
    133,778x = 178,431 × 178,431
  4. Step 4: Simplify right side
    133,778x = 31,837,621,761
  5. Step 5: Solve for x
    x = 31,837,621,761/133,778
  6. Step 6: Final answer
    x = 237,988.47

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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.