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Finding the Third Proportional to 210,975 and 281,827

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Solution

The third proportional to 210,975 and 281,827 is: 376,473.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,975 : 281,827 = 281,827 : x
  2. Step 2: Convert to fraction form
    210,975/281,827 = 281,827/x
  3. Step 3: Cross multiply
    210,975x = 281,827 × 281,827
  4. Step 4: Simplify right side
    210,975x = 79,426,457,929
  5. Step 5: Solve for x
    x = 79,426,457,929/210,975
  6. Step 6: Final answer
    x = 376,473.32

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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.