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Finding the Third Proportional to 210,975 and 281,826

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Solution

The third proportional to 210,975 and 281,826 is: 376,470.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,975 : 281,826 = 281,826 : x
  2. Step 2: Convert to fraction form
    210,975/281,826 = 281,826/x
  3. Step 3: Cross multiply
    210,975x = 281,826 × 281,826
  4. Step 4: Simplify right side
    210,975x = 79,425,894,276
  5. Step 5: Solve for x
    x = 79,425,894,276/210,975
  6. Step 6: Final answer
    x = 376,470.64

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.