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Finding the Third Proportional to 210,839 and 451,810

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Solution

The third proportional to 210,839 and 451,810 is: 968,190.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,839 : 451,810 = 451,810 : x
  2. Step 2: Convert to fraction form
    210,839/451,810 = 451,810/x
  3. Step 3: Cross multiply
    210,839x = 451,810 × 451,810
  4. Step 4: Simplify right side
    210,839x = 204,132,276,100
  5. Step 5: Solve for x
    x = 204,132,276,100/210,839
  6. Step 6: Final answer
    x = 968,190.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.