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Finding the Third Proportional to 121,676 and 178,310

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Solution

The third proportional to 121,676 and 178,310 is: 261,304.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,676 : 178,310 = 178,310 : x
  2. Step 2: Convert to fraction form
    121,676/178,310 = 178,310/x
  3. Step 3: Cross multiply
    121,676x = 178,310 × 178,310
  4. Step 4: Simplify right side
    121,676x = 31,794,456,100
  5. Step 5: Solve for x
    x = 31,794,456,100/121,676
  6. Step 6: Final answer
    x = 261,304.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.