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Finding the Third Proportional to 126,920 and 178,496

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Solution

The third proportional to 126,920 and 178,496 is: 251,030.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,920 : 178,496 = 178,496 : x
  2. Step 2: Convert to fraction form
    126,920/178,496 = 178,496/x
  3. Step 3: Cross multiply
    126,920x = 178,496 × 178,496
  4. Step 4: Simplify right side
    126,920x = 31,860,822,016
  5. Step 5: Solve for x
    x = 31,860,822,016/126,920
  6. Step 6: Final answer
    x = 251,030.74

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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.