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Finding the Third Proportional to 126,577 and 178,021

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Solution

The third proportional to 126,577 and 178,021 is: 250,373.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,577 : 178,021 = 178,021 : x
  2. Step 2: Convert to fraction form
    126,577/178,021 = 178,021/x
  3. Step 3: Cross multiply
    126,577x = 178,021 × 178,021
  4. Step 4: Simplify right side
    126,577x = 31,691,476,441
  5. Step 5: Solve for x
    x = 31,691,476,441/126,577
  6. Step 6: Final answer
    x = 250,373.10

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.