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Finding the Third Proportional to 210,996 and 281,853

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Solution

The third proportional to 210,996 and 281,853 is: 376,505.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,996 : 281,853 = 281,853 : x
  2. Step 2: Convert to fraction form
    210,996/281,853 = 281,853/x
  3. Step 3: Cross multiply
    210,996x = 281,853 × 281,853
  4. Step 4: Simplify right side
    210,996x = 79,441,113,609
  5. Step 5: Solve for x
    x = 79,441,113,609/210,996
  6. Step 6: Final answer
    x = 376,505.31

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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.