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Finding the Third Proportional to 270,920 and 421,891.50

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Solution

The third proportional to 270,920 and 421,891.50 is: 656,992.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,920 : 421,891.50 = 421,891.50 : x
  2. Step 2: Convert to fraction form
    270,920/421,891.50 = 421,891.50/x
  3. Step 3: Cross multiply
    270,920x = 421,891.50 × 421,891.50
  4. Step 4: Simplify right side
    270,920x = 177,992,437,772.25
  5. Step 5: Solve for x
    x = 177,992,437,772.25/270,920
  6. Step 6: Final answer
    x = 656,992.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.