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Finding the Third Proportional to 299,976.75 and 421,898.63

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Solution

The third proportional to 299,976.75 and 421,898.63 is: 593,374.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,976.75 : 421,898.63 = 421,898.63 : x
  2. Step 2: Convert to fraction form
    299,976.75/421,898.63 = 421,898.63/x
  3. Step 3: Cross multiply
    299,976.75x = 421,898.63 × 421,898.63
  4. Step 4: Simplify right side
    299,976.75x = 177,998,449,776.89
  5. Step 5: Solve for x
    x = 177,998,449,776.89/299,976.75
  6. Step 6: Final answer
    x = 593,374.15

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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.